scientific article; zbMATH DE number 7118234

zbMath1447.49059MaRDI QIDQ5237032

Alfred Wagner, Catherine Bandle

Publication date: 16 October 2019

Full work available at URL: http://www.heldermann.de/JCA/JCA26/JCA263/jca26048.htm#jca263

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zbMATH Keywords

Robin boundary conditionsdomain variationerratumharmonic transplantationRayleigh-Faber Krahn inequality

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 (1)

Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter

Cites Work

• Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues
• On the strict concavity of the harmonic radius in dimension \(N\geq 3\)
• Transplantation harmonique, transplantation par modules, et théoremes isoperimetriques
• Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $

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