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Van Schaftingen, Jean

Co-Author Distance

Author ID:: van-schaftingen.jean
Published as:: Van Schaftingen, Jean;van Schaftingen, Jean;Schaftingen, Jean Van;Van Schaftingen, J.more...less
Homepage:: http://perso.uclouvain.be/jean.vanschaftingen/
External Links:: MGP ·ORCID ·Wikidata ·ResearchGate ·IdRef ·theses.fr

Documents Indexed:

123 Publications since 2004, including12 Additional arXiv Preprints

1 Contribution as Editor ·1 Further Contribution

Co-Authors:

59 Co-Authors with 97 Joint Publications

1,322 Co-Co-Authors

all top 5

Co-Authors

27	single-authored
13	Moroz, Vitaly
10	Ponce, Augusto C.
10	Yung, Polam
8	Bonheure, Denis
8	Bousquet, Pierre
6	Brézis, Haïm
6	Chanillo, Sagun
4	Meunier, Nicolas
3	Convent, Alexandra
3	Dekeyser, Justin
3	Di Cosmo, Jonathan
3	Ghimenti, Marco G.
3	Gmeineder, Franz
3	Monteil, Antonin
3	Rodiac, Rémy
3	Seeger, Andreas
3	Van Vaerenbergh, Benoît
3	Willem, Michel
3	Xia, Jiankang
2	Battaglia, Luca
2	Bouchez, Vincent
2	Bulanyi, Bohdan
2	Chemin, Alexandre
2	Damlamian, Alain
2	Henrotte, François
2	Maz'ya, Vladimir Gilelevich
2	Mercuri, Carlo
2	Mironescu, Petru
2	Raită, Bogdan
2	Remacle, Jean-François
2	Schikorra, Armin
2	Spector, Daniel E.
1	Beaufort, Pierre-Alexandre
1	Bellazzini, Jacopo
1	Cassani, Daniele
1	Cianchi, Andrea
1	Cingolani, Silvia
1	Cuesta, Mabel
1	De Valeriola, Sébastien
1	Detaille, Antoine
1	Dominguez, Oscar
1	Fournais, Søren
1	Frank, Rupert L.
1	Grumiau, Christopher
1	Jin, Tianling
1	Lami Dozo, Enrique J.
1	Le Treust, Loïc
1	Lewintan, Peter
1	Macq, Alexis
1	Mazowiecka, Katarzyna Ewa
1	Mingione, Giuseppe
1	Nguyen, Hoai-Minh
1	Nys, Manon
1	Petrache, Mircea
1	Pick, Luboš
1	Raymond, Nicolas
1	Reberol, Maxence
1	Savin, Ovidiu V.
1	Smets, Didier
1	Squassina, Marco
1	Street, Brian
1	Takáč, Peter
1	Weth, Tobias
1	Winter, Leon
1	Zhang, Jianjun

all top 5

Serials

10	Comptes Rendus. Mathématique. Académie des Sciences, Paris
7	Journal of Functional Analysis
7	Calculus of Variations and Partial Differential Equations
4	Journal of Differential Equations
4	Proceedings of the American Mathematical Society
4	Journal of the European Mathematical Society (JEMS)
4	Communications in Contemporary Mathematics
3	Archive for Rational Mechanics and Analysis
3	Journal of Mathematical Analysis and Applications
3	Indiana University Mathematics Journal
3	Journal of Fixed Point Theory and Applications
2	Advances in Mathematics
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	Archiv der Mathematik
2	Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
2	Ricerche di Matematica
2	Transactions of the American Mathematical Society
2	Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
2	Revista Matemática Iberoamericana
2	Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2	Journal de Mathématiques Pures et Appliquées. Neuvième Série
2	Topological Methods in Nonlinear Analysis
2	Analysis \& PDE
2	Pure and Applied Functional Analysis
1	American Mathematical Monthly
1	Communications in Mathematical Physics
1	Houston Journal of Mathematics
1	Studia Mathematica
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Journal of the Mathematical Society of Japan
1	Mathematische Annalen
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	Rendiconti dell'Istituto di Matematica dell'Università di Trieste
1	Chinese Annals of Mathematics. Series B
1	Differential and Integral Equations
1	IMRN. International Mathematics Research Notices
1	Proceedings of the National Academy of Sciences of the United States of America
1	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1	NoDEA. Nonlinear Differential Equations and Applications
1	Mathematical Research Letters
1	Portugaliae Mathematica. Nova Série
1	Advanced Nonlinear Studies
1	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1	Contemporary Mathematics
1	Lecture Notes in Mathematics
1	Advances in Calculus of Variations
1	Confluentes Mathematici
1	Annals of the University of Bucharest. Mathematical Series
1	Advances in Nonlinear Analysis
1	Annales Fennici Mathematici
1	Annales de l'Institut Henri Poincaré C. Analyse Non Linéaire

all top 5

Fields

74	Partial differential equations (35-XX)
58	Functional analysis (46-XX)
35	Real functions (26-XX)
33	Global analysis, analysis on manifolds (58-XX)
11	Harmonic analysis on Euclidean spaces (42-XX)
10	Operator theory (47-XX)
10	Calculus of variations and optimal control; optimization (49-XX)
6	Fluid mechanics (76-XX)
5	Differential geometry (53-XX)
5	Algebraic topology (55-XX)
4	Measure and integration (28-XX)
4	Abstract harmonic analysis (43-XX)
3	General and overarching topics; collections (00-XX)
3	Quantum theory (81-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Integral equations (45-XX)
2	Probability theory and stochastic processes (60-XX)
2	Optics, electromagnetic theory (78-XX)
1	Group theory and generalizations (20-XX)
1	Topological groups, Lie groups (22-XX)
1	Potential theory (31-XX)
1	Special functions (33-XX)
1	Difference and functional equations (39-XX)
1	Approximations and expansions (41-XX)
1	Geometry (51-XX)
1	Convex and discrete geometry (52-XX)
1	Mechanics of deformable solids (74-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Geophysics (86-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

103 Publications have been cited 3,584 times in1,577 Documents	Cited by ▼	Year ▼
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048 Moroz, Vitaly;Van Schaftingen, Jean	623	2013
Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052 Moroz, Vitaly;van Schaftingen, Jean	360	2015
A guide to the Choquard equation. Zbl 1360.35252 Moroz, Vitaly;Van Schaftingen, Jean	349	2017
Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109 Moroz, Vitaly;Van Schaftingen, Jean	182	2015
Nodal solutions for the Choquard equation. Zbl 1345.35046 Ghimenti, Marco;Van Schaftingen, Jean	167	2016
Semi-classical states for the Choquard equation. Zbl 1309.35029 Moroz, Vitaly;van Schaftingen, Jean	154	2015
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083 Moroz, Vitaly;Van Schaftingen, Jean	72	2013
Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032 Van Schaftingen, Jean	69	2013
Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365 Mercuri, Carlo;Moroz, Vitaly;Van Schaftingen, Jean	69	2016
Desingularization of vortices for the Euler equation. Zbl 1228.35171 Smets, Didier;Van Schaftingen, Jean	67	2010
Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079 Ghimenti, Marco;Moroz, Vitaly;van Schaftingen, Jean	57	2017
Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055 Jin, Tianling;Maz’ya, Vladimir;Van Schaftingen, Jean	56	2009
Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011 Ruiz, David;Van Schaftingen, Jean	53	2018
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038 Moroz, Vitaly;Van Schaftingen, Jean	48	2010
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059 Bonheure, Denis;Van Schaftingen, Jean	46	2010
Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094 Van Schaftingen, Jean;Xia, Jiankang	45	2018
Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069 Van Schaftingen, Jean	44	2004
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084 Bonheure, Denis;van Schaftingen, Jean	42	2008
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329 Cassani, Daniele;Van Schaftingen, Jean;Zhang, Jianjun	38	2020
Choquard equations under confining external potentials. Zbl 1378.35144 Van Schaftingen, Jean;Xia, Jiankang	36	2017
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023 Bellazzini, Jacopo;Ghimenti, Marco;Mercuri, Carlo;Moroz, Vitaly;van Schaftingen, Jean	35	2018
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052 Bonheure, Denis;Cingolani, Silvia;Van Schaftingen, Jean	34	2017
Anisotropic symmetrization. Zbl 1133.42038 Van Schaftingen, Jean	34	2006
An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039 Schikorra, Armin;Spector, Daniel;van Schaftingen, Jean	33	2017
A surprising formula for Sobolev norms. Zbl 07994212 Brezis, Haïm;van Schaftingen, Jean;Yung, Po-Lam	33	2021
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057 Battaglia, Luca;Van Schaftingen, Jean	31	2017
Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005 van Schaftingen, Jean	29	2014
Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025 Van Schaftingen, Jean;Willem, Michel	27	2008
Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025 Brezis, Haïm;Van Schaftingen, Jean	27	2007
Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034 Van Schaftingen, Jean	25	2008
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037 Bousquet, Pierre;Van Schaftingen, Jean	25	2014
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008 Brezis, Haïm;Van Schaftingen, Jean;Yung, Po-Lam	24	2021
A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015 Van Schaftingen, Jean	24	2004
Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034 Van Schaftingen, J.;Willem, M.	22	2004
Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012 Van Schaftingen, Jean	22	2010
Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083 de Valeriola, Sébastien;Van Schaftingen, Jean	22	2013
Symmetrization and minimax principles. Zbl 1206.35088 Van Schaftingen, Jean	21	2005
Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032 Van Schaftingen, Jean;Xia, Jiankang	20	2017
Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005 Convent, Alexandra;Van Schaftingen, Jean	20	2016
Universal approximation of symmetrizations by polarizations. Zbl 1093.26012 van Schaftingen, Jean	19	2006
Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200 Di Cosmo, Jonathan;Van Schaftingen, Jean	19	2015
Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052 Van Schaftingen, Jean	18	2009
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096 Battaglia, Luca;Van Schaftingen, Jean	18	2018
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006 Bousquet, Pierre;Ponce, Augusto C.;Van Schaftingen, Jean	17	2015
Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119 Chanillo, Sagun;Van Schaftingen, Jean	17	2009
Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). Zbl 1314.58005 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	17	2013
Sobolev spaces revisited. Zbl 1509.46021 Brezis, Haïm;Seeger, Andreas;van Schaftingen, Jean;Yung, Po-Lam	16	2022
Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088 Bonheure, Denis;Nys, Manon;Van Schaftingen, Jean	16	2019
On limiting trace inequalities for vectorial differential operators. Zbl 1493.46054 Gmeineder, Franz;Raită, Bogdan;Van Schaftingen, Jean	15	2021
Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014 Van Schaftingen, Jean	15	2006
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027 Spector, Daniel;van Schaftingen, Jean	15	2019
Strong approximation of fractional Sobolev maps. Zbl 1310.58006 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	14	2014
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127 Bonheure, Denis;van Schaftingen, Jean	13	2006
Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037 Bonheure, Denis;Bouchez, Vincent;Grumiau, Christopher;van Schaftingen, Jean	13	2008
Periodic homogenization of monotone multivalued operators. Zbl 1133.35007 Damlamian, Alain;Meunier, Nicolas;Van Schaftingen, Jean	13	2007
Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105 Brezis, Haïm;van Schaftingen, Jean	13	2008
Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032 Van Schaftingen, Jean	13	2014
Vortex motion for the lake equations. Zbl 1443.76117 Dekeyser, Justin;Van Schaftingen, Jean	12	2020
Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310 Meunier, Nicolas;Van Schaftingen, Jean	12	2005
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057 Bonheure, Denis;Di Cosmo, Jonathan;Van Schaftingen, Jean	12	2012
Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024 Van Schaftingen, Jean	10	2006
Reiterated homogenization for elliptic operators. Zbl 1063.35027 Meunier, Nicolas;Van Schaftingen, Jean	9	2005
Families of functionals representing Sobolev norms. Zbl 1551.46026 Brezis, Haïm;Seeger, Andreas;Van Schaftingen, Jean;Yung, Po-Lam	8	2024
Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031 Chemin, Alexandre;Henrotte, François;Remacle, Jean-François;van Schaftingen, Jean	7	2019
Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063 Ponce, Augusto C.;Van Schaftingen, Jean	7	2009
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008 Van Schaftingen, Jean	7	2020
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364 Fournais, Søren;Le Treust, Loïc;Raymond, Nicolas;van Schaftingen, Jean	7	2017
Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099 Mironescu, Petru;Van Schaftingen, Jean	7	2021
Spaces of Besov-Sobolev type and a problem on nonlinear approximation. Zbl 1517.46024 Domínguez, Óscar;Seeger, Andreas;Street, Brian;Van Schaftingen, Jean;Yung, Po-Lam	6	2023
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002 Petrache, Mircea;Van Schaftingen, Jean	6	2017
Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025 Bouchez, Vincent;Van Schaftingen, Jean	6	2011
Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039 Moroz, Vitaly;Van Schaftingen, Jean	6	2012
Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012 Chanillo, Sagun;Van Schaftingen, Jean;Yung, Po-Lam	6	2017
Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001 Van Schaftingen, Jean	6	2014
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. Zbl 1494.58005 Monteil, Antonin;Rodiac, Rémy;Van Schaftingen, Jean	5	2022
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150 Monteil, Antonin;Rodiac, Rémy;Van Schaftingen, Jean	5	2021
Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima. Zbl 1264.35213 Di Cosmo, Jonathan;Van Schaftingen, Jean	5	2013
Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227 Moroz, Vitaly;Van Schaftingen, Jean	5	2009
Existence, stability and oscillation properties of slow-decay positive solutions of supercritical elliptic equations with Hardy potential. Zbl 1310.35120 Moroz, Vitaly;van Schaftingen, Jean	5	2015
Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 1515.35021 Chanillo, Sagun;Van Schaftingen, Jean;Yung, Po-Lam	5	2017
Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040 Mironescu, Petru;Van Schaftingen, Jean	5	2021
An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 1487.55020 Schikorra, Armin;van Schaftingen, Jean	4	2020
Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015 Damlamian, Alain;Meunier, Nicolas;Van Schaftingen, Jean	4	2008
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007 Bousquet, Pierre;Ponce, Augusto C.;Van Schaftingen, Jean	4	2017
Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035 Monteil, Antonin;Van Schaftingen, Jean	4	2019
The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023 Ponce, Augusto C.;Van Schaftingen, Jean	3	2007
Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. (Applications des inégalités de Bourgain-Brézis à la mécanique des fluides et au magnétisme.) Zbl 1338.35325 Chanillo, Sagun;van Schaftingen, Jean;Yung, Po-Lam	3	2016
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008 Convent, Alexandra;Van Schaftingen, Jean	3	2019
Reverse superposition estimates in Sobolev spaces. Zbl 1500.46028 Van Schaftingen, Jean	2	2022
A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	2	2008
Finding critical points whose polarization is also a critical point. Zbl 1283.35023 Squassina, Marco;Van Schaftingen, Jean	2	2012
Range convergence monotonicity for vector measures and range monotonicity of the mass. Zbl 1443.28005 Dekeyser, Justin;Van Schaftingen, Jean	2	2020
Weak approximation by bounded Sobolev maps with values into complete manifolds. (Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) Zbl 1390.58008 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	2	2018
A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013 Van Schaftingen, Jean	2	2013
Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. Zbl 1496.35023 van Schaftingen, Jean;Yung, Po-Lam	2	2022
Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005 Convent, Alexandra;Van Schaftingen, Jean	2	2016
Metric characterization of the sum of fractional Sobolev spaces. Zbl 1470.46059 Rodiac, Rémy;van Schaftingen, Jean	2	2021
Boundary ellipticity and limiting \(\mathrm{L}^1\)-estimates on halfspaces. Zbl 07807342 Gmeineder, Franz;Raiţă, Bogdan;Van Schaftingen, Jean	2	2024
Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002	1	2011
Approximation of symmetrizations by Markov processes. Zbl 1454.60026 Van Schaftingen, Jean;Dekeyser, Justin	1	2017
Families of functionals representing Sobolev norms. Zbl 1551.46026 Brezis, Haïm;Seeger, Andreas;Van Schaftingen, Jean;Yung, Po-Lam	8	2024
Boundary ellipticity and limiting \(\mathrm{L}^1\)-estimates on halfspaces. Zbl 07807342 Gmeineder, Franz;Raiţă, Bogdan;Van Schaftingen, Jean	2	2024
Injective ellipticity, cancelling operators, and endpoint Gagliardo-Nirenberg-Sobolev inequalities for vector fields. Zbl 08018431 Schaftingen, Jean Van	1	2024
Geometric and analytic aspects of functional variational principles. Cetraro, Italy, June 2022. Lecture notes. Zbl 1553.49003	1	2024
Spaces of Besov-Sobolev type and a problem on nonlinear approximation. Zbl 1517.46024 Domínguez, Óscar;Seeger, Andreas;Street, Brian;Van Schaftingen, Jean;Yung, Po-Lam	6	2023
Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation. Zbl 07738606 Van Schaftingen, Jean	1	2023
Sobolev spaces revisited. Zbl 1509.46021 Brezis, Haïm;Seeger, Andreas;van Schaftingen, Jean;Yung, Po-Lam	16	2022
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. Zbl 1494.58005 Monteil, Antonin;Rodiac, Rémy;Van Schaftingen, Jean	5	2022
Reverse superposition estimates in Sobolev spaces. Zbl 1500.46028 Van Schaftingen, Jean	2	2022
Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. Zbl 1496.35023 van Schaftingen, Jean;Yung, Po-Lam	2	2022
A surprising formula for Sobolev norms. Zbl 07994212 Brezis, Haïm;van Schaftingen, Jean;Yung, Po-Lam	33	2021
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008 Brezis, Haïm;Van Schaftingen, Jean;Yung, Po-Lam	24	2021
On limiting trace inequalities for vectorial differential operators. Zbl 1493.46054 Gmeineder, Franz;Raită, Bogdan;Van Schaftingen, Jean	15	2021
Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099 Mironescu, Petru;Van Schaftingen, Jean	7	2021
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150 Monteil, Antonin;Rodiac, Rémy;Van Schaftingen, Jean	5	2021
Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040 Mironescu, Petru;Van Schaftingen, Jean	5	2021
Metric characterization of the sum of fractional Sobolev spaces. Zbl 1470.46059 Rodiac, Rémy;van Schaftingen, Jean	2	2021
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329 Cassani, Daniele;Van Schaftingen, Jean;Zhang, Jianjun	38	2020
Vortex motion for the lake equations. Zbl 1443.76117 Dekeyser, Justin;Van Schaftingen, Jean	12	2020
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008 Van Schaftingen, Jean	7	2020
An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 1487.55020 Schikorra, Armin;van Schaftingen, Jean	4	2020
Range convergence monotonicity for vector measures and range monotonicity of the mass. Zbl 1443.28005 Dekeyser, Justin;Van Schaftingen, Jean	2	2020
Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088 Bonheure, Denis;Nys, Manon;Van Schaftingen, Jean	16	2019
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027 Spector, Daniel;van Schaftingen, Jean	15	2019
Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031 Chemin, Alexandre;Henrotte, François;Remacle, Jean-François;van Schaftingen, Jean	7	2019
Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035 Monteil, Antonin;Van Schaftingen, Jean	4	2019
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008 Convent, Alexandra;Van Schaftingen, Jean	3	2019
Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011 Ruiz, David;Van Schaftingen, Jean	53	2018
Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094 Van Schaftingen, Jean;Xia, Jiankang	45	2018
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023 Bellazzini, Jacopo;Ghimenti, Marco;Mercuri, Carlo;Moroz, Vitaly;van Schaftingen, Jean	35	2018
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096 Battaglia, Luca;Van Schaftingen, Jean	18	2018
Weak approximation by bounded Sobolev maps with values into complete manifolds. (Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) Zbl 1390.58008 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	2	2018
A guide to the Choquard equation. Zbl 1360.35252 Moroz, Vitaly;Van Schaftingen, Jean	349	2017
Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079 Ghimenti, Marco;Moroz, Vitaly;van Schaftingen, Jean	57	2017
Choquard equations under confining external potentials. Zbl 1378.35144 Van Schaftingen, Jean;Xia, Jiankang	36	2017
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052 Bonheure, Denis;Cingolani, Silvia;Van Schaftingen, Jean	34	2017
An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039 Schikorra, Armin;Spector, Daniel;van Schaftingen, Jean	33	2017
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057 Battaglia, Luca;Van Schaftingen, Jean	31	2017
Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032 Van Schaftingen, Jean;Xia, Jiankang	20	2017
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364 Fournais, Søren;Le Treust, Loïc;Raymond, Nicolas;van Schaftingen, Jean	7	2017
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002 Petrache, Mircea;Van Schaftingen, Jean	6	2017
Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012 Chanillo, Sagun;Van Schaftingen, Jean;Yung, Po-Lam	6	2017
Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 1515.35021 Chanillo, Sagun;Van Schaftingen, Jean;Yung, Po-Lam	5	2017
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007 Bousquet, Pierre;Ponce, Augusto C.;Van Schaftingen, Jean	4	2017
Approximation of symmetrizations by Markov processes. Zbl 1454.60026 Van Schaftingen, Jean;Dekeyser, Justin	1	2017
Nodal solutions for the Choquard equation. Zbl 1345.35046 Ghimenti, Marco;Van Schaftingen, Jean	167	2016
Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365 Mercuri, Carlo;Moroz, Vitaly;Van Schaftingen, Jean	69	2016
Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005 Convent, Alexandra;Van Schaftingen, Jean	20	2016
Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. (Applications des inégalités de Bourgain-Brézis à la mécanique des fluides et au magnétisme.) Zbl 1338.35325 Chanillo, Sagun;van Schaftingen, Jean;Yung, Po-Lam	3	2016
Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005 Convent, Alexandra;Van Schaftingen, Jean	2	2016
Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052 Moroz, Vitaly;van Schaftingen, Jean	360	2015
Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109 Moroz, Vitaly;Van Schaftingen, Jean	182	2015
Semi-classical states for the Choquard equation. Zbl 1309.35029 Moroz, Vitaly;van Schaftingen, Jean	154	2015
Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200 Di Cosmo, Jonathan;Van Schaftingen, Jean	19	2015
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006 Bousquet, Pierre;Ponce, Augusto C.;Van Schaftingen, Jean	17	2015
Existence, stability and oscillation properties of slow-decay positive solutions of supercritical elliptic equations with Hardy potential. Zbl 1310.35120 Moroz, Vitaly;van Schaftingen, Jean	5	2015
Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005 van Schaftingen, Jean	29	2014
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037 Bousquet, Pierre;Van Schaftingen, Jean	25	2014
Strong approximation of fractional Sobolev maps. Zbl 1310.58006 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	14	2014
Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032 Van Schaftingen, Jean	13	2014
Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001 Van Schaftingen, Jean	6	2014
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048 Moroz, Vitaly;Van Schaftingen, Jean	623	2013
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083 Moroz, Vitaly;Van Schaftingen, Jean	72	2013
Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032 Van Schaftingen, Jean	69	2013
Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083 de Valeriola, Sébastien;Van Schaftingen, Jean	22	2013
Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). Zbl 1314.58005 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	17	2013
Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima. Zbl 1264.35213 Di Cosmo, Jonathan;Van Schaftingen, Jean	5	2013
A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013 Van Schaftingen, Jean	2	2013
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057 Bonheure, Denis;Di Cosmo, Jonathan;Van Schaftingen, Jean	12	2012
Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039 Moroz, Vitaly;Van Schaftingen, Jean	6	2012
Finding critical points whose polarization is also a critical point. Zbl 1283.35023 Squassina, Marco;Van Schaftingen, Jean	2	2012
Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025 Bouchez, Vincent;Van Schaftingen, Jean	6	2011
Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002	1	2011
Desingularization of vortices for the Euler equation. Zbl 1228.35171 Smets, Didier;Van Schaftingen, Jean	67	2010
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038 Moroz, Vitaly;Van Schaftingen, Jean	48	2010
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059 Bonheure, Denis;Van Schaftingen, Jean	46	2010
Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012 Van Schaftingen, Jean	22	2010
Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055 Jin, Tianling;Maz’ya, Vladimir;Van Schaftingen, Jean	56	2009
Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052 Van Schaftingen, Jean	18	2009
Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119 Chanillo, Sagun;Van Schaftingen, Jean	17	2009
Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063 Ponce, Augusto C.;Van Schaftingen, Jean	7	2009
Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227 Moroz, Vitaly;Van Schaftingen, Jean	5	2009
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084 Bonheure, Denis;van Schaftingen, Jean	42	2008
Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025 Van Schaftingen, Jean;Willem, Michel	27	2008
Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034 Van Schaftingen, Jean	25	2008
Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037 Bonheure, Denis;Bouchez, Vincent;Grumiau, Christopher;van Schaftingen, Jean	13	2008
Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105 Brezis, Haïm;van Schaftingen, Jean	13	2008
Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015 Damlamian, Alain;Meunier, Nicolas;Van Schaftingen, Jean	4	2008
A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010 Bousquet, Pierre;Ponce, Augusto C.;van Schaftingen, Jean	2	2008
Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025 Brezis, Haïm;Van Schaftingen, Jean	27	2007
Periodic homogenization of monotone multivalued operators. Zbl 1133.35007 Damlamian, Alain;Meunier, Nicolas;Van Schaftingen, Jean	13	2007
The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023 Ponce, Augusto C.;Van Schaftingen, Jean	3	2007
Anisotropic symmetrization. Zbl 1133.42038 Van Schaftingen, Jean	34	2006
Universal approximation of symmetrizations by polarizations. Zbl 1093.26012 van Schaftingen, Jean	19	2006
Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014 Van Schaftingen, Jean	15	2006
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127 Bonheure, Denis;van Schaftingen, Jean	13	2006
Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024 Van Schaftingen, Jean	10	2006
Symmetrization and minimax principles. Zbl 1206.35088 Van Schaftingen, Jean	21	2005
Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310 Meunier, Nicolas;Van Schaftingen, Jean	12	2005
Reiterated homogenization for elliptic operators. Zbl 1063.35027 Meunier, Nicolas;Van Schaftingen, Jean	9	2005
...and 3 more Documents

all cited Publications top 5 cited Publications

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Cited by 1,446 Authors

73	Van Schaftingen, Jean
40	Yang, Minbo
35	Cao, Daomin
27	Tang, Xianhua
24	Sreenadh, Konijeti
22	Tang, Chun-Lei
21	Rădulescu, Vicenţiu D.
20	Gao, Fashun
19	Alves, Claudianor Oliveira
19	Chen, Haibo
19	Moroz, Vitaly
19	Squassina, Marco
18	Su, Yu
18	Zhang, Binlin
17	Bonheure, Denis
17	Liang, Sihua
17	Wang, Guodong
17	Wang, Jun
16	Cingolani, Silvia
15	Li, Guidong
14	He, Xiaoming
14	Spector, Daniel E.
13	Gmeineder, Franz
13	Luo, Huxiao
13	Raită, Bogdan
13	Stolyarov, Dmitry M.
13	Xia, Jiankang
13	Yung, Polam
12	Brézis, Haïm
12	Chen, Jianqing
12	Chen, Sitong
12	Miyagaki, Olimpio Hiroshi
12	Saanouni, Tarek
12	Schikorra, Armin
12	Shen, Zifei
12	Yang, Jianfu
12	Zhang, Jianjun
11	Chen, Wenjing
11	Cianchi, Andrea
11	Le, Phuong
11	Li, Quanqing
11	Li, Yongyong
11	Ma, Shiwang
11	Mingione, Giuseppe
11	Qin, Guolin
11	Wan, Jie
11	Zhang, Xu
10	Ambrosio, Vincenzo
10	Dai, Wei
10	Figueiredo, Giovany Malcher
10	Ghergu, Marius
10	Li, Xinfu
10	Liu, Senli
10	Lü, Dengfeng
10	Mukherjee, Tuhina
10	Peng, Shuangjie
10	Wang, Zhi-Qiang
10	Wu, Tsungfang
10	Zhang, Fubao
9	d'Avenia, Pietro
9	Giacomoni, Jacques
9	Goel, Divya
9	Qin, Dongdong
9	Yang, Dachun
9	Yuan, Shuai
9	Yuan, Wen
9	Zhang, Jian
8	Cassani, Daniele
8	Deng, Yinbin
8	Lei, Chunyu
8	Liu, Zhisu
8	Picon, Tiago Henrique
8	Ponce, Augusto C.
8	Shen, Liejun
8	Shi, Shaoyun
8	Song, Yueqiang
8	Tanaka, Kazunaga
8	Teng, Kaimin
8	Wang, Qingxuan
8	Zhan, Weicheng
7	Bousquet, Pierre
7	Guo, Hui
7	Luo, Xiao
7	Mao, Anmin
7	Nguyen, Hoai-Minh
7	Orlandi, Giandomenico
7	Sang, Yanbin
7	Stefani, Giorgio
7	Sun, Juntao
7	Wang, Tao
7	Wang, Wenbo
7	Weth, Tobias
7	Xiao, Jie
7	Zhang, Hui
7	Zhang, Jihui
7	Zhang, Qian
6	Arroyo-Rabasa, Adolfo
6	Baldi, Annalisa
6	Bianchi, Gabriele
6	Bueno, Hamilton P.
...and 1,346 more Authors

all top 5

Cited in 214 Serials

89	Journal of Differential Equations
88	Journal of Mathematical Analysis and Applications
81	Calculus of Variations and Partial Differential Equations
72	Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
46	Journal of Functional Analysis
44	Advances in Nonlinear Analysis
42	Journal of Mathematical Physics
39	The Journal of Geometric Analysis
37	Mathematical Methods in the Applied Sciences
33	ZAMP. Zeitschrift für angewandte Mathematik und Physik
33	Discrete and Continuous Dynamical Systems
31	Complex Variables and Elliptic Equations
28	Communications on Pure and Applied Analysis
26	Applied Mathematics Letters
25	Topological Methods in Nonlinear Analysis
25	Communications in Contemporary Mathematics
25	Boundary Value Problems
24	Advanced Nonlinear Studies
20	Applicable Analysis
20	Archive for Rational Mechanics and Analysis
20	NoDEA. Nonlinear Differential Equations and Applications
19	Comptes Rendus. Mathématique. Académie des Sciences, Paris
19	Journal of Fixed Point Theory and Applications
17	Nonlinearity
17	Mathematische Nachrichten
16	Annali di Matematica Pura ed Applicata. Serie Quarta
16	Transactions of the American Mathematical Society
15	Mathematische Annalen
15	Journal de Mathématiques Pures et Appliquées. Neuvième Série
14	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14	SIAM Journal on Mathematical Analysis
14	Mediterranean Journal of Mathematics
13	Proceedings of the American Mathematical Society
13	Asymptotic Analysis
13	Acta Mathematica Scientia. Series B. (English Edition)
12	Advances in Mathematics
12	Discrete and Continuous Dynamical Systems. Series S
12	Journal of Applied Analysis and Computation
11	Electronic Journal of Differential Equations (EJDE)
11	Nonlinear Analysis. Real World Applications
11	Analysis and Mathematical Physics
10	Acta Mathematica Scientia. Series A. (Chinese Edition)
9	Computers \& Mathematics with Applications
9	Communications in Mathematical Physics
9	Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
9	Advances in Calculus of Variations
9	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8	Acta Applicandae Mathematicae
8	Revista Matemática Iberoamericana
8	Potential Analysis
8	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8	Journal of the European Mathematical Society (JEMS)
7	Mathematische Zeitschrift
7	Qualitative Theory of Dynamical Systems
6	Bulletin of the Iranian Mathematical Society
6	Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
6	Communications in Nonlinear Science and Numerical Simulation
6	Milan Journal of Mathematics
6	Advances in Mathematical Physics
6	Open Mathematics
5	Proceedings of the Edinburgh Mathematical Society. Series II
5	Advances in Differential Equations
5	Science China. Mathematics
5	Journal of Nonlinear and Variational Analysis
5	SN Partial Differential Equations and Applications
4	Journal d'Analyse Mathématique
4	Inventiones Mathematicae
4	Manuscripta Mathematica
4	Results in Mathematics
4	Opuscula Mathematica
4	Fractional Calculus \& Applied Analysis
4	Journal of Mathematical Fluid Mechanics
4	Acta Mathematica Sinica. English Series
4	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4	AIMS Mathematics
3	Indian Journal of Pure \& Applied Mathematics
3	Applied Mathematics and Optimization
3	Demonstratio Mathematica
3	Indiana University Mathematics Journal
3	Monatshefte für Mathematik
3	Pacific Journal of Mathematics
3	Advances in Applied Mathematics
3	Chinese Annals of Mathematics. Series B
3	Physica D
3	M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences
3	Communications in Partial Differential Equations
3	Journal of Nonlinear Science
3	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3	Journal of Mathematical Sciences (New York)
3	Computational and Applied Mathematics
3	Bulletin des Sciences Mathématiques
3	Revista Matemática Complutense
3	Journal of Evolution Equations
3	Analysis \& PDE
3	Annals of Functional Analysis
3	Journal of Function Spaces
3	Mathematics in Engineering
3	Electronic Research Archive
2	Applied Mathematics and Computation
...and 114 more Serials

all top 5

Cited in 51 Fields

1,336	Partial differential equations (35-XX)
203	Functional analysis (46-XX)
122	Real functions (26-XX)
118	Calculus of variations and optimal control; optimization (49-XX)
102	Global analysis, analysis on manifolds (58-XX)
84	Fluid mechanics (76-XX)
60	Operator theory (47-XX)
52	Harmonic analysis on Euclidean spaces (42-XX)
49	Quantum theory (81-XX)
41	Differential geometry (53-XX)
33	Mechanics of deformable solids (74-XX)
29	Measure and integration (28-XX)
20	Integral equations (45-XX)
19	Statistical mechanics, structure of matter (82-XX)
18	Convex and discrete geometry (52-XX)
16	Potential theory (31-XX)
13	Ordinary differential equations (34-XX)
12	Probability theory and stochastic processes (60-XX)
11	Functions of a complex variable (30-XX)
11	Dynamical systems and ergodic theory (37-XX)
9	Abstract harmonic analysis (43-XX)
8	Algebraic topology (55-XX)
8	Numerical analysis (65-XX)
8	Optics, electromagnetic theory (78-XX)
7	Geophysics (86-XX)
5	Difference and functional equations (39-XX)
5	Biology and other natural sciences (92-XX)
4	Special functions (33-XX)
4	Relativity and gravitational theory (83-XX)
4	Systems theory; control (93-XX)
3	General and overarching topics; collections (00-XX)
3	Linear and multilinear algebra; matrix theory (15-XX)
3	Manifolds and cell complexes (57-XX)
2	Combinatorics (05-XX)
2	Commutative algebra (13-XX)
2	Computer science (68-XX)
2	Mechanics of particles and systems (70-XX)
2	Classical thermodynamics, heat transfer (80-XX)
2	Astronomy and astrophysics (85-XX)
1	Number theory (11-XX)
1	Field theory and polynomials (12-XX)
1	Algebraic geometry (14-XX)
1	Nonassociative rings and algebras (17-XX)
1	Group theory and generalizations (20-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Sequences, series, summability (40-XX)
1	Statistics (62-XX)
1	Operations research, mathematical programming (90-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Information and communication theory, circuits (94-XX)

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