Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations (Q1773503)
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scientific article; zbMATH DE number 2163647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations |
scientific article; zbMATH DE number 2163647 |
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Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations (English)
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29 April 2005
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Summary: We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form \(Lu(x)=\sum_{i,j=1}^n D_j(a_{ij}(x)D_iu(x))\), with \(D_j=\partial/\partial x_j\), where \(a_{ij}:\Omega\to\mathbb R\) are functions satisfying suitable hypotheses.
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