Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain.

DOI10.1007/BF01200252zbMath1142.35332MaRDI QIDQ1611032

R. Smith

Publication date: 20 August 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

singular numbersperforated domainnon-selfadjoint problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic equations (35J30)

Cites Work

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• Homogenization of elliptic eigenvalue problems. I
• On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles
• Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
• The Hadamard variational formula for the ground state value of \(- {\Delta{}}u={\lambda{}}|{}u|{}^{p-1}u\)
• Nonlinear eigenvalue problem and singular variation of domains
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• THE METHOD OF ORTHOGONAL PROJECTIONS AND THE DIRICHLET PROBLEM IN DOMAINS WITH A FINE-GRAINED BOUNDARY

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