Critical points of the symmetric functions of the eigenvalues of the Laplace operator and overdetermined problems

DOI10.2969/jmsj/1145287100zbMath1099.35070OpenAlexW2072793182MaRDI QIDQ819565

Massimo Lanza de Cristoforis, Pier Domenico Lamberti

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.2969/jmsj/1145287100

zbMATH Keywords

Laplace operator domain perturbation overdetermined problems Dirichlet and Neumann eigenvalues and eigenfunctions special nonlinear operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Overdetermined systems of PDEs with constant coefficients (35N05)

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