Eigenvalues of the Laplacian in a disk with the Dirichlet condition on finitely many small boundary parts in the critical case

DOI10.1007/s10958-016-2722-4zbMath1383.35017OpenAlexW2305915322MaRDI QIDQ291243

F. Blanchet-Sadri, M. Dambrine

Publication date: 7 June 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2722-4

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary
• Concordance method of asymptotic expansions in a singularly-perturbed boundary-value problem for the Laplace operator
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