Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian (Q691034)
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scientific article; zbMATH DE number 6111287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian |
scientific article; zbMATH DE number 6111287 |
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Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian (English)
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29 November 2012
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The authors study a differential inclusion involving \(p(x)\)-Laplacian and the multivalued operator obtained by the Clarke subdifferential. Using the Weierstrass theorem and the mountain pass theorem, two nontrivial solutions are obtained.
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Clarke subdifferential
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mountain pass theorem
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\(p(x)\)-Laplacian
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differential inclusion problem
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locally Lipschitz function
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variational method
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