On the porosity of the free boundary in the \(p(x)\)-obstacle problem (Q716242)
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scientific article; zbMATH DE number 5881460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the porosity of the free boundary in the \(p(x)\)-obstacle problem |
scientific article; zbMATH DE number 5881460 |
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On the porosity of the free boundary in the \(p(x)\)-obstacle problem (English)
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27 April 2011
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Summary: We consider the obstacle problem for the \(p(x)\)-Laplace operator. Assuming that \(p\) is locally Lipschitz continuous, we establish the growth rate of the solution near the free boundary from which we deduce its porosity.
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obstacle problem
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\(p(x)\)-Laplacian
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free boundary
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porosity
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