Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian (Q488124)
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scientific article; zbMATH DE number 6390166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian |
scientific article; zbMATH DE number 6390166 |
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Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian (English)
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23 January 2015
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The authors study the existence and multiplicity of solutions for semilinear elliptic equations involving the fractional Laplacian on a bounded domain in \(\mathbb{R}^n\). They use methods of nonlinear analysis to provide examples of nonlinearities for which at least one, four, five, six, or infinitely many nontrivial solutions exist.
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existence
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multiplicity of solutions
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fractional Laplacian
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