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).

引用

页数：16

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