Homogenization of obstacle problems in Orlicz–Sobolev spaces
Diego MarconUniversidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
José Francisco RodriguesUniversidade de Lisboa, Portugal
Rafayel TeymurazyanUniversidade de Coimbra, Portugal
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. 267–283DOI 10.4171/PM/2019