Homogenization of obstacle problems in Orlicz–Sobolev spaces
Diego Marcon
Universidade Federal do Rio Grande do Sul, Porto Alegre, BrazilJosé Francisco Rodrigues
Universidade de Lisboa, PortugalRafayel Teymurazyan
Universidade de Coimbra, Portugal
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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 -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.
Cite this article
Diego Marcon, José Francisco Rodrigues, Rafayel Teymurazyan, Homogenization of obstacle problems in Orlicz–Sobolev spaces. Port. Math. 75 (2018), no. 3/4, pp. 267–283
DOI 10.4171/PM/2019