Existence and multiplicity of solutions for Schrodinger equation with inverse square potential and Hardy-Sobolev critical exponent

被引：4

作者：

Wang, Cong ^{[1
]}

Shang, Yan-Ying ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 46卷

基金：

中国国家自然科学基金;

关键词：

Hardy-Sobolev critical exponent; Ekeland's variational principle; Schrodinger equation; SEMILINEAR ELLIPTIC-EQUATIONS; GROUND-STATE SOLUTION; POSITIVE SOLUTIONS;

D O I：

10.1016/j.nonrwa.2018.10.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a Schrodinger equation involving Hardy-Sobolev critical exponent in R-N, the existence of a ground state solution and multiplicity of solutions are established. Our method relies upon Ekeland's variational principle, Nehari manifold and Mountain Pass Theorem. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：525 / 544

页数：20

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