MULTIPLE NODAL SOLUTIONS OF NONLINEAR CHOQUARD EQUATIONS

被引：0
|
作者：
Huang, Zhihua [1 ]
Yang, Jianfu [1 ]
Yu, Weilin [1 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Nonlinear Choquard equations; nodal solutions; nonlocal term; SCHRODINGER-POISSON SYSTEM; EXISTENCE; UNIQUENESS; ENERGY; STATES;
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 existence of multiple nodal solutions of the nonlinear Choquard equation -Delta u + u = (vertical bar x vertical bar(-1) * vertical bar u vertical bar(p)) vertical bar u vertical bar(p-2)u in R-3, u is an element of H-1 (R-3), where p is an element of (5/2,5). We show that for any positive integer k, the above problem has at least one radially symmetrical solution changing sign exactly k-times.
引用
收藏
页数：18
相关论文
共 50 条
12345