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Shape optimization approach to the Bernoulli problem: a Lagrangian formulation.(English)Zbl 1512.35692


MSC:

35R35 Free boundary problems for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35N25 Overdetermined boundary value problems for PDEs and systems of PDEs
49Q10 Optimization of shapes other than minimal surfaces

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