A necessary condition for the strong \(G\)-convergence of nonlinear operators of Dirichlet problems with variable domain

DOI10.1007/BF02754254zbMath0967.35050OpenAlexW2066676552MaRDI QIDQ5930623

Alexander A. Kovalevsky

Publication date: 22 April 2001

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02754254

zbMATH Keywords

\(G\)-convergencelocal variational inequalitiesvariable domains

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• On the \(G\)-convergence of nonlinear elliptic operators related to the Dirichlet problem in variable domains
• NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS
• $ G$-compactness of sequences of non-linear operators of Dirichlet problems with a variable domain of definition

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