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Ilias, Saïd

Co-Author Distance
Author ID:
ilias.said Recent zbMATH articles by "Ilias, Saïd"
Published as:
Ilias, Saïd;Ilias, Said;Ilias, S.
Documents Indexed:

32 Publications since 1982, including3 Additional arXiv Preprints

alltop 5

Serials

3 Pacific Journal of Mathematics
2 Annales de l’Institut Fourier
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Annals of Global Analysis and Geometry
1 Communications in Mathematical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Geometry and Physics
1 Commentarii Mathematici Helvetici
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Manuscripta Mathematica
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Communications in Analysis and Geometry
1 Calculus of Variations and Partial Differential Equations
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 442 times in303 DocumentsCited by ▼Year ▼
Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume). Zbl 0675.53045
El Soufi, A.;Ilias, S.
1986
Laplacian eigenvalue functionals and metric deformations on compact manifolds. Zbl 1137.49040
El Soufi, Ahmad;Ilias, Saïd
2008
Riemannian manifolds admitting isometric immersions by their first eigenfunctions. Zbl 1030.53043
El Soufi, Ahmad;Ilias, Saïd
2000
Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds. Zbl 1162.58009
El Soufi, Ahmad;Harrell, Evans M. II;Ilias, Saïd
2009
An inequality of “Reilly”-type for submanifolds of the hyperbolic space. (Une inégalité du type ”Reilly” pour les sous-variétés de l’espace hyperbolique.) Zbl 0758.53029
El Soufi, A.;Ilias, S.
1992
Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold. Zbl 1124.49035
El Soufi, Ahmad;Ilias, Saïd
2007
Constantes explicites pour les inégalités de Sobolev sur les variétés Riemanniennes compactes. Zbl 0528.53040
Ilias, Said
1983
Extremal metrics for the first eigenvalue of the Laplacian in a conformal class. Zbl 1027.58010
El Soufi, Ahmad;Ilias, Saïd
2003
Second eigenvalue of Schrödinger operators and mean curvature. Zbl 0955.58025
El Soufi, Ahmad;Ilias, Saïd
2000
A Reilly inequality for the first Steklov eigenvalue. Zbl 1222.35131
Ilias, Saïd;Makhoul, Ola
2011
Conformal volume and its applications according to Li and Yau. (Le volume conforme et ses applications d’après Li et Yau.) Zbl 0757.53028
El Soufi, A.;Ilias, S.
1984
Upper bound for the second eigenvalue of a Schrödinger operator on a compact manifold and applications. (Majoration de la seconde valeur propre d’un opérateur de Schrödinger sur une variété compacte et applications.) Zbl 0766.58055
El Soufi, A.;Ilias, S.
1992
Caccioppoli’s inequalities on constant mean curvature hypersurfaces in Riemannian manifolds. Zbl 1260.53113
Ilias, Said;Nelli, Barbara;Soret, Marc
2012
Sobolev inequalities and isolation results for harmonic maps. (Inégalités de Sobolev et résultats d’isolement pour les applications harmoniques.) Zbl 0868.53027
Ilias, Saïd
1996
On sums of eigenvalues of elliptic operators on manifolds. Zbl 1382.58023
El Soufi, Ahmad;Harrell, Evans M. II;Ilias, Saïd;Stubbe, Joachim
2017
A new result on the pinching of the first eigenvalue of the Laplacian and the Dirichlet diameter conjecture. (Un nouveau résultat de pincement de la première valeur propre du laplacien et conjecture du diamètre pincé.) Zbl 0783.53024
Ilias, Saïd
1993
On the first eigenvalue of tori. (Sur la première valeur propre des tores.) Zbl 0902.58003
El Soufi, Ahmad;Ilias, Saïd;Ros, Antonio
1997
Eigenvalues upper bounds for the magnetic Schrödinger operator. Zbl 1518.58005
Colbois, Bruno;El Soufi, Ahmad;Ilias, Saïd;Savo, Alessandro
2022
Critical metrics of the trace of the heat kernel on a compact manifold. Zbl 1037.58010
El Soufi, Ahmad;Ilias, Saïd
2002
Universal inequalities for the eigenvalues of a power of the Laplace operator. Zbl 1189.35206
Ilias, Saïd;Makhoul, Ola
2010
Sur une inégalité de Sobolev. Zbl 0504.53038
Ilias, Said
1982
On the entropies of hypersurfaces with bounded mean curvature. Zbl 1337.35100
Ilias, Said;Nelli, Barbara;Soret, Marc
2016
‘Universal’ inequalities for the eigenvalues of the Hodge de Rham Laplacian. Zbl 1178.35277
Ilias, Said;Makhoul, Ola
2009
Sobolev inequalities on a weighted Riemannian manifold of positive Bakry-Émery curvature and convex boundary. Zbl 1386.35089
Ilias, Saïd;Shouman, Abdolhakim
2018
Inequalities between Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds. Zbl 1445.35264
Ilias, Saïd;Shouman, Abdolhakim
2020
Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary. Zbl 1457.53019
Ilias, Saïd;Shouman, Abdolhakim
2019
Eigenvalues upper bounds for the magnetic Schrödinger operator. Zbl 1518.58005
Colbois, Bruno;El Soufi, Ahmad;Ilias, Saïd;Savo, Alessandro
2022
Inequalities between Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds. Zbl 1445.35264
Ilias, Saïd;Shouman, Abdolhakim
2020
Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary. Zbl 1457.53019
Ilias, Saïd;Shouman, Abdolhakim
2019
Sobolev inequalities on a weighted Riemannian manifold of positive Bakry-Émery curvature and convex boundary. Zbl 1386.35089
Ilias, Saïd;Shouman, Abdolhakim
2018
On sums of eigenvalues of elliptic operators on manifolds. Zbl 1382.58023
El Soufi, Ahmad;Harrell, Evans M. II;Ilias, Saïd;Stubbe, Joachim
2017
On the entropies of hypersurfaces with bounded mean curvature. Zbl 1337.35100
Ilias, Said;Nelli, Barbara;Soret, Marc
2016
Caccioppoli’s inequalities on constant mean curvature hypersurfaces in Riemannian manifolds. Zbl 1260.53113
Ilias, Said;Nelli, Barbara;Soret, Marc
2012
A Reilly inequality for the first Steklov eigenvalue. Zbl 1222.35131
Ilias, Saïd;Makhoul, Ola
2011
Universal inequalities for the eigenvalues of a power of the Laplace operator. Zbl 1189.35206
Ilias, Saïd;Makhoul, Ola
2010
Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds. Zbl 1162.58009
El Soufi, Ahmad;Harrell, Evans M. II;Ilias, Saïd
2009
‘Universal’ inequalities for the eigenvalues of the Hodge de Rham Laplacian. Zbl 1178.35277
Ilias, Said;Makhoul, Ola
2009
Laplacian eigenvalue functionals and metric deformations on compact manifolds. Zbl 1137.49040
El Soufi, Ahmad;Ilias, Saïd
2008
Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold. Zbl 1124.49035
El Soufi, Ahmad;Ilias, Saïd
2007
Extremal metrics for the first eigenvalue of the Laplacian in a conformal class. Zbl 1027.58010
El Soufi, Ahmad;Ilias, Saïd
2003
Critical metrics of the trace of the heat kernel on a compact manifold. Zbl 1037.58010
El Soufi, Ahmad;Ilias, Saïd
2002
Riemannian manifolds admitting isometric immersions by their first eigenfunctions. Zbl 1030.53043
El Soufi, Ahmad;Ilias, Saïd
2000
Second eigenvalue of Schrödinger operators and mean curvature. Zbl 0955.58025
El Soufi, Ahmad;Ilias, Saïd
2000
On the first eigenvalue of tori. (Sur la première valeur propre des tores.) Zbl 0902.58003
El Soufi, Ahmad;Ilias, Saïd;Ros, Antonio
1997
Sobolev inequalities and isolation results for harmonic maps. (Inégalités de Sobolev et résultats d’isolement pour les applications harmoniques.) Zbl 0868.53027
Ilias, Saïd
1996
A new result on the pinching of the first eigenvalue of the Laplacian and the Dirichlet diameter conjecture. (Un nouveau résultat de pincement de la première valeur propre du laplacien et conjecture du diamètre pincé.) Zbl 0783.53024
Ilias, Saïd
1993
An inequality of “Reilly”-type for submanifolds of the hyperbolic space. (Une inégalité du type ”Reilly” pour les sous-variétés de l’espace hyperbolique.) Zbl 0758.53029
El Soufi, A.;Ilias, S.
1992
Upper bound for the second eigenvalue of a Schrödinger operator on a compact manifold and applications. (Majoration de la seconde valeur propre d’un opérateur de Schrödinger sur une variété compacte et applications.) Zbl 0766.58055
El Soufi, A.;Ilias, S.
1992
Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume). Zbl 0675.53045
El Soufi, A.;Ilias, S.
1986
Conformal volume and its applications according to Li and Yau. (Le volume conforme et ses applications d’après Li et Yau.) Zbl 0757.53028
El Soufi, A.;Ilias, S.
1984
Constantes explicites pour les inégalités de Sobolev sur les variétés Riemanniennes compactes. Zbl 0528.53040
Ilias, Said
1983
Sur une inégalité de Sobolev. Zbl 0504.53038
Ilias, Said
1982
alltop 5

Cited by 317 Authors

18 El Soufi, Ahmad
14 Ilias, Saïd
13 Karpukhin, Mikhail A.
11 Xia, Changyu
10 Roth, Julien
9 Colbois, Bruno
9 Wang, Qiaoling
7 Cheng, Qingming
7 Du, Feng
7 Huang, Guangyue
6 Harrell, Evans M. II
6 Sicbaldi, Pieralberto
5 Hebey, Emmanuel
5 Penskoi, Alexei V.
5 Petrides, Romain
5 Provenzano, Luigi
5 Qi, Xuerong
5 Ros, Antonio
5 Savo, Alessandro
5 Stubbe, Joachim
4 Ali, Akram
4 Aribi, Amine
4 Chen, Daguang
4 Fraser, Ailana
4 Gomes, José Nazareno Vieira
4 Grosjean, Jean-François
4 Hassannezhad, Asma
4 Polterovich, Iosif
4 Stern, Daniel L.
3 Benalili, Mohammed
3 Benallal, Hafida
3 Buoso, Davide
3 Gentil, Ivan
3 Ginoux, Nicolas
3 Girouard, Alexandre
3 He, Yue
3 Hou, Songbo
3 Jakobson, Dmitry
3 Jammes, Pierre
3 Kokarev, Gerasim
3 Ledoux, Michel
3 Luzzini, Paolo
3 Makhoul, Ola
3 Mao, Jing
3 Marrocos, Marcus Antônio Mendonça
3 Matthiesen, Henrik
3 Nadirashvili, Nikolai S.
3 Pérez-Ayala, Samuel
3 Pu, Shiyun
3 Schoen, Richard Melvin
3 Sun, Hejun
3 Wang, Peng
3 Wu, Chuanxi
3 Xu, Hongwei
3 Yu, Chengjie
2 Ali, Rifaqat
2 Alkhaldi, Ali Hussain
2 Azami, Shahroud
2 Berge, Stine Marie
2 Bonifacio, James
2 Canzani, Yaiza
2 Chen, Hang
2 Chen, Qun
2 do Carmo, Manfredo Perdigão
2 Fall, Mouhamed Moustapha
2 Ghigi, Alessandro
2 Gittins, Katie
2 Habib, Georges
2 Hillairet, Luc
2 Ho, Pak Tung
2 Hu, Yingxiang
2 Hua, Bobo
2 Ichikawa, Takamichi
2 Kao, Chiu-Yen
2 Kwong, Kwok-Kun
2 Laptev, Ari
2 Laugesen, Richard Snyder
2 Li, Guanghan
2 Li, Haizhong
2 Loi, Andrea
2 Ma, Bingqing
2 Mametsuka, Shinji
2 Manfio, Fernando
2 Métras, Antoine
2 Nelli, Barbara
2 Nobili, Francesco
2 Osting, Braxton
2 Oudet, Edouard
2 Pacard, Frank
2 Bessa, Gregório Pacelli
2 Petean, Jimmy
2 Sabourau, Stéphane
2 Scheuer, Julian
2 Shi, Jianghai
2 Shi, Yongjie
2 Shouman, Abdolhakim
2 Soret, Marc
2 Upadhyay, Abhitosh
2 Vaugon, Michel
2 Violo, Ivan Yuri
...and 217 more Authors
alltop 5

Cited in 104 Serials

20 The Journal of Geometric Analysis
16 Calculus of Variations and Partial Differential Equations
14 Mathematische Zeitschrift
13 Annals of Global Analysis and Geometry
10 Proceedings of the American Mathematical Society
9 Journal of Spectral Theory
8 Journal of Geometry and Physics
7 Advances in Mathematics
7 Journal of Functional Analysis
7 Mathematische Annalen
7 Transactions of the American Mathematical Society
6 Annales de l’Institut Fourier
6 Manuscripta Mathematica
6 Differential Geometry and its Applications
5 Journal of Mathematical Analysis and Applications
5 Duke Mathematical Journal
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 International Journal of Mathematics
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal of Mathematical Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Compositio Mathematica
4 Geometriae Dedicata
4 Inventiones Mathematicae
4 Journal of Differential Equations
4 Mathematische Nachrichten
4 Pacific Journal of Mathematics
4 Geometric and Functional Analysis. GAFA
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Mediterranean Journal of Mathematics
3 Journal of Differential Geometry
3 Journal of the Mathematical Society of Japan
3 Potential Analysis
3 Journal of High Energy Physics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications in Mathematical Physics
2 Results in Mathematics
2 Ricerche di Matematica
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 IMRN. International Mathematics Research Notices
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Acta Mathematica Sinica. English Series
2 Oberwolfach Reports
2 Journal of Topology and Analysis
2 Communications in Mathematics
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Letters in Mathematical Physics
1 Reports on Mathematical Physics
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Anais da Academia Brasileira de Ciências
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Control and Optimization
1 Tamkang Journal of Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Bulletin of the Korean Mathematical Society
1 Sugaku Expositions
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of Nonlinear Science
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Mathematical Physics, Analysis and Geometry
1 Journal of Inequalities and Applications
1 Geometry & Topology
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Frontiers of Mathematics in China
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Science China. Mathematics
1 Analysis and Mathematical Physics
1 Journal of Mahani Mathematical Research Center
1 Journal of Mathematical Research with Applications
1 Advances in Nonlinear Analysis
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1 EMS Surveys in Mathematical Sciences
...and 4 more Serials
alltop 5

Cited in 27 Fields

206 Global analysis, analysis on manifolds (58-XX)
176 Differential geometry (53-XX)
143 Partial differential equations (35-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
16 Several complex variables and analytic spaces (32-XX)
15 Operator theory (47-XX)
9 Quantum theory (81-XX)
8 Functional analysis (46-XX)
8 Probability theory and stochastic processes (60-XX)
7 Potential theory (31-XX)
4 Combinatorics (05-XX)
4 Mechanics of deformable solids (74-XX)
3 Algebraic geometry (14-XX)
3 Functions of a complex variable (30-XX)
3 Numerical analysis (65-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
1 Group theory and generalizations (20-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year

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