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A generic property for the eigenfunctions of the Laplacian

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Publication:1411248
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DOI10.12775/TMNA.2002.038zbMath1055.35077MaRDI QIDQ1411248

Marcone Corrêa Pereira, Antonio Luiz Pereira

Publication date: 27 October 2003

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)


zbMATH Keywords

eigenfunctionsLaplaciandomain perturbationgeneric properties


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20)


Related Items (3)

Generic simplicity of the eigenvalues for a supported plate equation ⋮ Generic hyperbolicity of stationary solutions for a reaction-diffusion system ⋮ On the constancy of the extremal function in the embedding theorem of fractional order







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