Anisotropic elliptic equations in \(\mathbb{R}^N\): existence and regularity results (Q536513)
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scientific article; zbMATH DE number 5896996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Anisotropic elliptic equations in \(\mathbb{R}^N\): existence and regularity results |
scientific article; zbMATH DE number 5896996 |
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Anisotropic elliptic equations in \(\mathbb{R}^N\): existence and regularity results (English)
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18 May 2011
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The paper deals with a class of anisotropic elliptic equations in the whole space \(\mathbb R^N\). By means of a variational approach, the authors prove existence and regularity of nontrivial solutions in the framework of anisotropic Sobolev spaces. In addition, when the data are assumed to be only locally integrable, the existence of solutions is established for a subclass of equations.
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anisotropic elliptic equation
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existence
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regularity
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