Asymptotics of Hadamard type for eigenvalues of the Neumann problem on \(C^1\)-domains for elliptic operators

DOI10.2140/apde.2015.8.1695zbMath1336.35262arXiv1412.5964OpenAlexW3099670862MaRDI QIDQ500450

Johan Thim

Publication date: 2 October 2015

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5964

zbMATH Keywords

asymptotics of eigenvaluesNeumann problemdomain variationHadamard formula\(C^1\)-domains

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Variational methods for eigenvalues of operators (49R05)

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Hadamard asymptotics for eigenvalues of the Dirichlet Laplacian

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