Global integrability and degenerate quasilinear elliptic equations (Q1317283)
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scientific article; zbMATH DE number 528677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global integrability and degenerate quasilinear elliptic equations |
scientific article; zbMATH DE number 528677 |
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Global integrability and degenerate quasilinear elliptic equations (English)
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18 April 1994
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The author shows that all positive \(p\)-superharmonic functions (or, more generally, \(A\)-superharmonic functions) are integrable to some positive power \(\gamma = \gamma (n,p,\varepsilon)>0\) in each \(\varepsilon\)- Hölder domain in \(\mathbb{R}^ n\). The proof is a combination of known real variable results due to a variety of authors.
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\(p\)-superharmonic functions
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\(\varepsilon\)-Hölder domain in \(\mathbb{R}^ n\)
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0.96717477
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0.92989224
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0.92096794
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