Fractional differentiability for elliptic double obstacle problems with measure data (Q6082492)
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scientific article; zbMATH DE number 7761219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional differentiability for elliptic double obstacle problems with measure data |
scientific article; zbMATH DE number 7761219 |
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Fractional differentiability for elliptic double obstacle problems with measure data (English)
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6 November 2023
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Summary: We consider elliptic double obstacle problems involving \(p\)-Laplacian type operators and measure data. We prove maximal fractional differentiability results in a completely linearized form under suitable differentiability assumptions on the obstacles. We also investigate fractional Sobolev-Morrey regularity for such problems under a density condition on the measures.
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double obstacle problem
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measure data
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fractional differentiability
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linearization
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