Homogenization of a quasi-linear problem with quadratic growth in perforated domains: An example

DOI10.1016/S0294-1449(97)80129-1zbMath0942.35051MaRDI QIDQ1370900

Juan Casado-Díaz

Publication date: 10 November 1997

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1997__14_5_669_0

zbMATH Keywords

Dirichlet problemhomogenizationLaplace operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains ⋮ Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes ⋮ Singular quasilinear elliptic problems with changing sign datum: existence and homogenization ⋮ Unnamed Item

Cites Work

• Wiener criteria and energy decay for relaxed Dirichlet problems
• Wiener's criterion and \(\Gamma\)-convergence
• Homogenization of renormalized solutions of elliptic equations
• \(H\) convergence for quasi-linear elliptic equations with quadratic growth
• Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions
• Change of variables for absolutely continuous functions
• NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS
• Quasi-Linear Relaxed Dirichlet Problems
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