On Morrey's estimate of the Sobolev norms of solutions of elliptic equations (Q881016)
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scientific article; zbMATH DE number 5155467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Morrey's estimate of the Sobolev norms of solutions of elliptic equations |
scientific article; zbMATH DE number 5155467 |
Statements
On Morrey's estimate of the Sobolev norms of solutions of elliptic equations (English)
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21 May 2007
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The goal of this paper is to provide a complete proof of an important result of Morrey which gives an estimate of the \(W^{1,p}\)-norm of a solution of a second-order elliptic equation in a domain in terms of the coefficients of the equation and \(L^1\)-norm of the solution in the same domain. Moreover, the author studies the dependence of the constant in this estimate on the coefficients of the equation.
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elliptic equation
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Sobolev norm
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weak solution
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Morrey's estimate
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