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

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

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 condit...

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Bibliographic Details
Main Authors: Yuanxiao Li, Suxia Xia
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Boundary Value Problems
Subjects:
Quasilinear elliptic equation
Nontrivial solution
Neumann boundary condition
Critical Sobolev exponent
Lions concentration-compactness principle
Online Access:http://link.springer.com/article/10.1186/s13661-018-0984-0

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http://link.springer.com/article/10.1186/s13661-018-0984-0

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