Multiple solutions for a class of differential inclusion system involving the \((p(x), q(x))\)-Laplacian (Q448878)
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scientific article; zbMATH DE number 6078847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions for a class of differential inclusion system involving the \((p(x), q(x))\)-Laplacian |
scientific article; zbMATH DE number 6078847 |
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Multiple solutions for a class of differential inclusion system involving the \((p(x), q(x))\)-Laplacian (English)
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7 September 2012
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Summary: We consider a differential inclusion system involving the \((p(x), q(x))\)-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.
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differential inclusion system
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nonsmooth critical point theory
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