Homogenization of eigenvalue problems for the laplace operator with nonlinear terms in domains in many tiny holes

DOI10.1016/0362-546X(95)00153-MzbMath0863.35068OpenAlexW1995970852MaRDI QIDQ5689197

Satoshi Kaizu

Publication date: 3 June 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00153-m

zbMATH Keywords

convergence of convex functionsmaximal monotone functionslimiting eigenvalue problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with multivalued right-hand sides (35R70) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials ⋮ Homogenization of Steklov spectral problems with indefinite density function in perforated domains ⋮ Two-scale convergence of Stekloff eigenvalue problems in perforated domains

Cites Work

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• Homogenization in open sets with holes
• Homogenization of eigenvalue problems in perforated domains
• Potential and scattering theory on wildly perturbed domains
• Asymptotics of eigenvalues of the Laplacian with small spherical Robin boundary
• Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II
• Problèmes unilateraux
• THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE SECOND BOUNDARY VALUE PROBLEM UNDER FRAGMENTATION OF THE BOUNDARY OF THE DOMAIN
• NONLINEAR EIGENVALUE PROBLEMS ASSOCIATED WITH SUBDIFFERENTIALS
• The Poisson Equation with Nonautonomous Semilinear Boundary Conditions in Domains with Many Time Holes
• Eigenvalue problem for a class of cyclically maximal monotone operators

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