Multiple solutions for a class of quasilinear problems involving variable exponents (Q2805925)
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scientific article; zbMATH DE number 6580450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions for a class of quasilinear problems involving variable exponents |
scientific article; zbMATH DE number 6580450 |
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Multiple solutions for a class of quasilinear problems involving variable exponents (English)
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13 May 2016
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existence
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multiplicity
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variable exponents
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variational methods
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The authors are concerned with existence of multiple solutions for elliptic problems driven by the \(p(x)\)-Laplacian in the whole \({\mathbb R}^N\). By using the Ekeland's variational principle and some properties related to the Nehari manifold, the main result of the paper establishes the existence of a large number of solutions under additional hypotheses on the data.
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