JournalspmVol. 75, No. 3/4pp. 267–283

Homogenization of obstacle problems in Orlicz–Sobolev spaces

  • Diego Marcon

    Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil

  • José Francisco Rodrigues

    Universidade de Lisboa, Portugal

  • Rafayel Teymurazyan

    Universidade de Coimbra, Portugal
Homogenization of obstacle problems in Orlicz–Sobolev spaces cover
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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