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Existence of multiple solutions for a quasilinear Neumann problem with critical exponent

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The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent. It is shown, by the methods… Click to show full abstract

The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent. It is shown, by the methods of the Lions concentration-compactness principle and the mountain pass lemma, that under certain conditions, the existence of nontrivial solutions are obtained.

Keywords: quasilinear neumann; critical exponent; neumann problem; solutions quasilinear; problem critical

Journal Title: Boundary Value Problems
Year Published: 2018

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