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Nontrivial solutions for a fractional p-Laplacian problem via Rabier Theorem

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Abstract By using a generalization of the Struwe–Jeanjean monotonicity trick we prove the existence of a non-trivial weak solution for the following problem where is a smooth bounded open set… Click to show full abstract

Abstract By using a generalization of the Struwe–Jeanjean monotonicity trick we prove the existence of a non-trivial weak solution for the following problem where is a smooth bounded open set in , , , , is the fractional p-Laplace operator and is a continuous function with and there are and such that whenever .

Keywords: nontrivial solutions; problem via; fractional laplacian; solutions fractional; problem; laplacian problem

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2017

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