\(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size.

DOI10.1007/s10492-009-0030-8zbMath1212.35023OpenAlexW2013240808MaRDI QIDQ993314

Jean Louis Woukeng

Publication date: 10 September 2010

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37833

zbMATH Keywords

homogenizationperforated domainsreiterated

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Banach algebras of continuous functions, function algebras (46J10)

Related Items (2)

Corrector problem in the deterministic homogenization of nonlinear elliptic equations ⋮ Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes

Cites Work

• Reiterated homogenization of nonlinear monotone operators in a general deterministic setting.
• \(\Sigma\) -convergence of nonlinear parabolic operators
• Homogenization structures and applications. II
• Homogenization in open sets with holes
• On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension
• Homogenization in perforated domains beyond the periodic setting.
• Homogenization structures and applications. I
• Homogenization of a convection-diffusion equation in perforated domains with a weak adsorption
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Non-homogeneous Neumann problems in domains with small holes
• Asymptotic behaviour of quasi-linear problems with neumann boundary conditions on perforated domains
• A compactness result for elliptic equations with subquadratic growth in perforated domains
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