A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form (Q390506)
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scientific article; zbMATH DE number 6243439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form |
scientific article; zbMATH DE number 6243439 |
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A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form (English)
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8 January 2014
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elliptic equations
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discontinuous coefficients
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a priori bounds
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Morrey spaces
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This paper proves an \(L^p\) (\(p>1\)) a priori bound for the solutions of the Dirichlet problem for second order linear PDEs in divergence form.The authors allow discontinuous coefficients as well as unbounded domains.NEWLINENEWLINETheir existence results use Morrey spaces (adapted to unbounded domains) and a generalisation of a lemma by Stampaccia on non-negative decreasing functions.
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