| Popis: |
We study the asymptotic behavior, as e→0, of ue solutions to a nonlinear elliptic equation with nonstandard growth condition in domains containing a grid-type microstructure Fe that is concentrated in an arbitrary small neighborhood of a given hypersurface Γ. We assume that ue=Ae on ∂Fe, where Ae is an unknown constant. The macroscopic equation and a nonlocal transmission condition on Γ are obtained by the variational homogenization technique in the framework of Sobolev spaces with variables exponents. This result is then illustrated by a periodic example. To cite this article: B. Amaziane et al., C. R. Mecanique 337 (2009). |
