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arXiv · 1108.0109

Nonlinear stochastic homogenization in Orlicz spaces and applications

Dimitris Kontogiannis
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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.

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Dimitris Kontogiannis. 2011-07-30. Nonlinear stochastic homogenization in Orlicz spaces and applications. https://arxiv.org/abs/1108.0109

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