Three weak solutions for nonlocal fractional equations (Q2923156)
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scientific article; zbMATH DE number 6355889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three weak solutions for nonlocal fractional equations |
scientific article; zbMATH DE number 6355889 |
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15 October 2014
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fractional Laplacian
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fractional Sobolev space
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variational formulation
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critical points
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Three weak solutions for nonlocal fractional equations (English)
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From the abstract: This article concerns a class of nonlocal fractional Laplacian problems depending of three real parameters. More precisely, by using an appropriate analytical context on fractional Sobolev spaces due to Servadei and Valdinoci (in order to correctly encode the Dirichlet boundary datum in the variational formulation of our problem) we establish the existence of three weak solutions for fractional equations via a recent abstract critical point result for differentiable and parametric functionals recently proved by Ricceri.
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