A global compactness result for a critical nonlinear Choquard equation in RN

被引：0
|
作者：
Huang, Wangcheng [1 ]
Long, Wei [1 ]
Xia, Aliang [1 ]
Zheng, Xiongjun [1 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang, Jiangxi, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2019年
关键词：
Global compactness; (PS) condition; Choquard equation; Existence results; NODAL SOLUTIONS; EXISTENCE; MULTIPLICITY; SYMMETRY;
D O I：
10.1186/s13661-019-1223-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with the following class of nonlinear Choquard equations: u + a(x) u = (| x|- mu * | u| 2 * mu)| u| 2 * mu- 2u + q(x)| u| p- 1u, x. RN, u. H1(RN), where 2 * mu = 2N- mu N- 2 is the critical exponent with N = 4 and 0 < mu < N, 1 < p < 2 * - 1 = N+ 2 N- 2, a(x) and q(x) satisfy some assumptions. Through a compactness analysis of the functional corresponding to the above problem, we obtain the existence of weak solutions for this problem under certain assumptions on a(x) and q(x).
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页数：16
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