Wolf-Keller theorem for Neumann eigenvalues

zbMath1292.35180arXiv1007.4771MaRDI QIDQ5166786

Guillaume Roy-Fortin, Guillaume Poliquin

Publication date: 8 July 2014

Full work available at URL: https://arxiv.org/abs/1007.4771

zbMATH Keywords

maximizationNeumann eigenvaluesplanar domainsSzegö-Weinberger inequality

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (3)

New Numerical Results for the Optimization of Neumann Eigenvalues ⋮ Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces ⋮ Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians

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