Nonlinear stochastic homogenization in Orlicz spaces and applications

Details Nonlinear stochastic homogenization in Orlicz spaces and applications Nonlinear stochastic homogenization in Orlicz spaces and applications

2011-07-30

arxiv.org/abs/1108.0109v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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