On the Dirichlet problem for degenerate elliptic equations (Q582453)
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scientific article; zbMATH DE number 4130868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Dirichlet problem for degenerate elliptic equations |
scientific article; zbMATH DE number 4130868 |
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On the Dirichlet problem for degenerate elliptic equations (English)
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1987
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In this paper a class of linear and degenerate elliptic problems is considered: the operator is uniformly elliptic in a neighbourhood of a domain of \({\mathbb{R}}\) but it degenerates in a very precise form on an interior part of it. A suitable associated weighted Sobolev space is introduced; this allows to describe and solve uniquely the corresponding Dirichlet Problem.
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weighted Sobolev space
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Dirichlet Problem
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