Nonlinear potential theory and PDEs (Q1320310)
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scientific article; zbMATH DE number 554334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear potential theory and PDEs |
scientific article; zbMATH DE number 554334 |
Statements
Nonlinear potential theory and PDEs (English)
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19 April 1994
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The author considers a class of equations similar to \((*)\) \(-\text{div}(|\nabla u|^{p- 2} \nabla u)= \mu\), where \(\mu\) is a nonnegative Radon measure and \(1< p< \infty\). The main topics discussed are the relation between \(p\)-superharmonic functions and distributional solutions of \((*)\), and the Wiener criterion for the regularity of boundary points for such equations.
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\(p\)-Laplacian
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\({\mathcal A}\)-superharmonic functions
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Wiener's criterion
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regularity of boundary points
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