Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains (Q816278)
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scientific article; zbMATH DE number 5011360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains |
scientific article; zbMATH DE number 5011360 |
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Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains (English)
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10 March 2006
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Summary: The \(p\)-Laplace equation is considered for \(p>2\) on an \(n\)-dimensional convex polyhedral domain under a Dirichlet boundary value condition. Global regularity of weak solutions in weighted Sobolev spaces and in fractional order Nikol'skii and Sobolev spaces are proven.
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fractional order Nikolskii spaces
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