Nonlinear stochastic homogenization in Orlicz spaces and applications
Analysis of PDEs
2011-08-02 v1
Abstract
In this paper we are interested in the application of ergodic theory in integral functionals defined in generalizes Sobolev-Orlicz spaces. We provide examples of inhomogeneous, random media based on continuum percolation models that have been introduced in a previous paper. Finally we apply the limit theorem to the homogenization method introduced by E. Khruslov.
Keywords
Cite
@article{arxiv.1108.0109,
title = {Nonlinear stochastic homogenization in Orlicz spaces and applications},
author = {Dimitris Kontogiannis},
journal= {arXiv preprint arXiv:1108.0109},
year = {2011}
}