Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions

zbMath1328.49041arXiv1403.3249MaRDI QIDQ3450744

Catherine Bandle, Alfred Wagner

Publication date: 9 November 2015

Full work available at URL: https://arxiv.org/abs/1403.3249

zbMATH Keywords

isoperimetric inequalitiesprincipal eigenvalueRobin boundary conditionsshape derivativesRayleigh-Faber-Krahn inequalitydomain variationharmonic transplantation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Inequalities involving eigenvalues and eigenvectors (15A42) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20) Variational methods for eigenvalues of operators (49R05) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (5)

Unnamed Item ⋮ Eigencurves for linear elliptic equations ⋮ Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign ⋮ Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues ⋮ Effective operators for Robin eigenvalues in domains with corners

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