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.
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页码：141 / 160
页数：20
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