Nodal solutions for fractional Schrodinger-Poisson problems

被引：8
|
作者：
Long, Wei [1 ]
Yang, Jianfu [1 ]
Yu, Weilin [1 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2020年 / 63卷 / 11期
基金：
中国国家自然科学基金;
关键词：
multipeak solutions; fractional Schrodinger-Poisson system; reduction method; POSITIVE SOLUTIONS; STANDING WAVES; GROUND-STATES; EQUATION; SPHERES;
D O I：
10.1007/s11425-018-9452-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following fractional Schrodinger-Poisson problem: {epsilon(2s)(-Delta)(s)u + V(x)u + phi u = vertical bar u vertical bar(p-1)u, x is an element of R-N, (-Delta)(t)phi = u(2), x is an element of R-N, where epsilon > 0 is a small parameter, N >= 3 and V(x) is a potential function. We construct non-radial sign-changing solutions, whose components may have spikes clustering at the local minimum point of V(x).
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页码：2267 / 2286
页数：20
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