The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates (Q515927)
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scientific article; zbMATH DE number 6695872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates |
scientific article; zbMATH DE number 6695872 |
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The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates (English)
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17 March 2017
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The authors present some recent results regarding poinwise bounds for the gradient of solution \(u\) satisfying \(-\text{div}(|\nabla u|^{p-2}\nabla u)=\text{div}(F)\) in an open set, with \(p>1\). Local estimates inside the domain and global estimates for solutions to boundary value problems are obtained. The approach relies on the study of the sharp maximal operators which allow to translate some aspects of the elliptic regularity theory to a harmonic-analytic setting.
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gradient regularity
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sharp maximal operator
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0.8843879
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0.87072194
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0.8672626
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0.8667973
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0.8657926
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