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

被引：1

作者：

Li, Yuanxiao ^{[1
]}

Xia, Suxia ^{[1
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou, Henan, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic equation; Nontrivial solution; Neumann boundary condition; Critical Sobolev exponent; Lions concentration-compactness principle; NONLINEAR BOUNDARY-CONDITION; CRITICAL SOBOLEV EXPONENTS; POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; WEAK SOLUTIONS; EQUATIONS; CONCAVE; EXTINCTION; TERM;

D O I：

10.1186/s13661-018-0984-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：17

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