Homogenization of obstacle problems in Orlicz-Sobolev spaces

2018/06/22 by Marcon, Diego, Rodrigues, José Francisco, Teymurazyan, Rafayel · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.08821

Abstract

We study the homogenization of obstacle problems in Orlicz-Sobolev spaces for a wide class of monotone operators (possibly degenerate or singular) of the p(⋅)-Laplacian type. Our approach is based on the Lewy-Stampacchia inequalities, which then give access to a compactness argument. We also prove the convergence of the coincidence sets under non-degeneracy conditions.

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