Homogenization of obstacle problems in Orlicz–Sobolev spaces
Diego Marcon, José Francisco Rodrigues, Rafayel Teymurazyan · Portugaliae Mathematica · 2019
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(\cdot) -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.