The existence of positive solution of elliptic system by a linking theorem on product space. (Q1427919)
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scientific article; zbMATH DE number 2056122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of positive solution of elliptic system by a linking theorem on product space. |
scientific article; zbMATH DE number 2056122 |
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The existence of positive solution of elliptic system by a linking theorem on product space. (English)
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14 March 2004
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This paper deals with the study of a nonlinear cooperative elliptic system with Dirichlet boundary data. Using a linking theorem on product spaces the authors prove the existence of at least three nonnegative weak solutions. The proof relies on standard variational arguments on Nehari manifolds.
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nonlinear elliptic system
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linking theorem
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nontrivial positive solution
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variational method
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Nehari manifold
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