Harnack inequality and regularity of \(p\)-Laplace equation on complete manifolds (Q5929126)
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scientific article; zbMATH DE number 1588381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harnack inequality and regularity of \(p\)-Laplace equation on complete manifolds |
scientific article; zbMATH DE number 1588381 |
Statements
Harnack inequality and regularity of \(p\)-Laplace equation on complete manifolds (English)
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13 February 2002
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\(p\)-Laplacian operator
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Poincaré inequality
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Hölder continuity
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Moser's iteration
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The paper deals with mean value and Harnack inequalities for weak nonnegative solutions of the differential inequality NEWLINE\[NEWLINE|\text{div }(|f|^{p-2}\nabla f)|\leq A\cdot f^{p-1}NEWLINE\]NEWLINE on a complete manifold with \(A\geq 0\) and \(p>1.\)
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