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).

引用

页码：2267 / 2286

页数：20

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