Multiplicity of solutions for variable exponent Dirichlet problem with concave term (Q449526)
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scientific article; zbMATH DE number 6074676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions for variable exponent Dirichlet problem with concave term |
scientific article; zbMATH DE number 6074676 |
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Multiplicity of solutions for variable exponent Dirichlet problem with concave term (English)
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30 August 2012
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In this paper the author studies the multiplicity of smooth solutions for an elliptic problem involving \(p(x)\)-Laplacian and concave term. By using truncation techniques and the method of sub- and supersolutions, he proves the existence of three nontrivial smooth solutions.
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Dirichlet problem
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\(p(x)\)-Laplacian
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multiplicity of solutions
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sub- and supersolutions
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