An optimization problem for the first weighted eigenvalue problem plus a potential

DOI10.1090/S0002-9939-10-10384-0zbMath1198.49047arXiv0906.2985MaRDI QIDQ3053502

Leandro M. Del Pezzo, Julián Fernández Bonder

Publication date: 29 October 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2985

zbMATH Keywords

optimizationrearrangementsnonlinear eigenvalues

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

A nonlinear eigenvalue optimization problem: optimal potential functions ⋮ On the optimization of the first weighted eigenvalue ⋮ Optimal shape design for the \(p\)-Laplacian eigenvalue problem ⋮ Resonant equations with the Neumann \(p\)-Laplacian plus an indefinite potential ⋮ Multiple solutions for a class of \(N\)-Laplacian equations with critical growth and indefinite weight ⋮ Superlinear Neumann problems with the \(p\)-Laplacian plus an indefinite potential

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