Homogenization of variational functionals with nonstandard growth in perforated domains

DOI10.3934/nhm.2010.5.189zbMath1262.35017OpenAlexW4298023797MaRDI QIDQ1943810

Brahim Amaziane, Andrey L. Piatnitski, Leonid S. Pankratov

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2010.5.189

zbMATH Keywords

variational problemNeumann boundary value problemhomogenizationperforated domainsnonstandard growth condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Homogenization in equilibrium problems of solid mechanics (74Q05) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

A gamma convergence approach to the critical Sobolev embedding in variable exponent spaces ⋮ Homogenization in Sobolev spaces with nonstandard growth: brief review of methods and applications

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