Ground state solutions for nonlinear Choquard equations with inverse-square potentials

被引：5

作者：

Guo Ting ^{[1
]}

Tang Xianhua ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

ASYMPTOTIC ANALYSIS | 2020年 / 117卷 / 3-4期

关键词：

Choquard equation; ground state solutions; asymptotical behavior; inverse square potential; NEHARI-MANIFOLD METHOD; SCHRODINGER-EQUATIONS; NEUMANN PROBLEMS; EXISTENCE; INDEFINITE; MULTIPLICITY; SYSTEMS;

D O I：

10.3233/ASY-191549

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the following Choquard equation where N >= 3, 0 <= mu < (N-2)(2)/4, 0 < alpha < N, V is 1-periodic in each of x(1), x(2),..., x(N) and F is the primitive function of f. Under some mild assumptions on V and f, we establish the existence and asymptotical behavior of ground state solutions by variational methods.

引用

页码：141 / 160

页数：20

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