Global Hölder regularity for the fractional \(p\)-Laplacian (Q515356)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global Hölder regularity for the fractional \(p\)-Laplacian |
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Global Hölder regularity for the fractional \(p\)-Laplacian (English)
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13 March 2017
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Summary: By virtue of barrier arguments we prove \(C^\alpha\)-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional \(p\)-Laplacian operator. The equation is boundedly inhomogeneous and the boundary conditions are of Dirichlet type. We employ different methods according to the singular \((p<2)\) of degenerate \((p>2)\) case.
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fractional \(p\)-Laplacian
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fractional Sobolev spaces
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global Hölder regularity
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