Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains

DOI10.1007/s11401-016-1008-yzbMath1458.35037OpenAlexW2532901435MaRDI QIDQ519110

Imen Chourabi, Patrizia Donato

Publication date: 4 April 2017

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1008-y

zbMATH Keywords

nonlinear Robin conditionperiodically perforated domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (5)

Existence and uniqueness results for a class of singular elliptic problems in perforated domains ⋮ Homogenization of a class of singular elliptic problems in two-component domains ⋮ Homogenization of a nonlinear stochastic model with nonlinear random forces for chemical reactive flows in porous media ⋮ Homogenization of a class of singular elliptic problems in perforated domains ⋮ Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media

Cites Work

• Homogenization in open sets with holes
• \(H\) convergence for quasi-linear elliptic equations with quadratic growth
• Periodic unfolding and homogenization
• Bounded solutions for a quasilinear singular problem with nonlinear Robin boundary conditions.
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• The periodic unfolding method in perforated domains
• The Periodic Unfolding Method in Domains with Holes
• Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions
• Un résultat d'homogénéisation pour une classe de problèmes de diffusion non linéaires stationnaires
• Homogenization and correctors of a class of elliptic problems in perforated domains
• The Periodic Unfolding Method in Homogenization
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