Homogenization in Sobolev Spaces with Nonstandard Growth: Brief Review of Methods and Applications

We review recent results on the homogenization in Sobolev spaces with variable exponents. In particular, we are dealing with the Γ-convergence of variational functionals with rapidly oscillating coefficients, the homogenization of the Dirichlet and Neumann variational problems in strongly perforated...

Full description

Bibliographic Details
Main Authors: Brahim Amaziane, Leonid Pankratov
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2013/693529