Reiterated homogenization of nonlinear monotone operators in a general deterministic setting.

DOI10.1155/2009/102486zbMath1178.35048OpenAlexW2124464369MaRDI QIDQ841313

Dag Lukkassen, Gabriel Nguetseng, Peter Wall, Hubert Nnang

Publication date: 15 September 2009

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/102486

zbMATH Keywords

homogenization structures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Banach algebras of continuous functions, function algebras (46J10) Nonlinear elliptic equations (35J60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Reiterated ergodic algebras and applications ⋮ Deterministic homogenization of weakly damped nonlinear hyperbolic-parabolic equations ⋮ Periodic reiterated homogenization of stationary Navier-Stokes type equations ⋮ The effective conductivity equation for a highly heterogeneous periodic medium ⋮ Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes ⋮ Reiterated homogenization of nonlinear pseudo monotone degenerate parabolic operators ⋮ \(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size. ⋮ Stability under composition of some classes of functions and applications to homogenization theory ⋮ Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting ⋮ Diffusion through a composite medium with a semi-periodic structure and high contrasting diffusivity ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

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