\(L^p\)-estimates for the solutions of second order elliptic equations (Q1813404)
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scientific article; zbMATH DE number 6272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^p\)-estimates for the solutions of second order elliptic equations |
scientific article; zbMATH DE number 6272 |
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\(L^p\)-estimates for the solutions of second order elliptic equations (English)
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25 June 1992
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Using results of \textit{N. G. Meyers} [Ann. Sc. Norm. Super. Pisa, Cl. Sci, III. Ser. 17, 189--206 (1963; Zbl 0127.31904)] the authors derive an \(L^ p\)-theory for second order elliptic operators not in divergence form. The leading coefficients are not assumed to be continuous, but to be in \(W^{1,n}\). Then the usual \(L^p\)-estimates hold true for \(p\) in a neighbourhood of 2.
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discontinuous coefficients
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\(L^p\)-estimates
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homogeneous Dirichlet problem
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