Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain (Q399121)
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scientific article; zbMATH DE number 6331493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain |
scientific article; zbMATH DE number 6331493 |
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Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain (English)
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19 August 2014
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This paper deals with the study of a semilinear elliptic equation containing a critical term and a critical nonlinearity subject to a Neumann boundary condition. The main result establishes a sufficient condition for the existence of a radially symmetric ground state solution. The proof combines variational arguments with a careful analysis of the energy levels.
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ground state solution
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Neumann boundary condition
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exterior domain
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