EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A PERTURBATION OF CHOQUARD EQUATION WITH HARDY-LITTLEWOOD-SOBOLEV UPPER CRITICAL EXPONENT

被引：0

作者：

Su, Yu ^{[1
,2
]}

Chen, Haibo ^{[1
]}

机构：

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

[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Hardy-Littlewood-Sobolev upper critical exponent; Choquard equation; SYMMETRIC-SOLUTIONS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the problem -Delta u = (integral(RN) vertical bar u vertical bar(2)*mu/vertical bar x-y vertical bar(mu) dy) vertical bar u vertical bar(2)mu*(-2)+ f(x, u) in R-N, where N >= 3, mu is an element of(0, N) and 2(mu)* = 2N-mu/N-2. Under suitable assumptions on f (x, u), we establish the existence and non-existence of nontrivial solutions via the variational method.

引用

页数：25

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