Homogenization of obstacle problems in Orlicz-Sobolev spaces (Q2313593)
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| Language | Label | Description | Also known as |
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| English | Homogenization of obstacle problems in Orlicz-Sobolev spaces |
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Homogenization of obstacle problems in Orlicz-Sobolev spaces (English)
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19 July 2019
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Summary: 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.
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\(p(\cdot)\)-Laplacian
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homogenization of obstacle problems
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Orlicz-Sobolev spaces
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convergence of the coincidence sets
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