Nodal solutions for fractional Schrodinger-Poisson problems

作     者：Wei Long Jianfu Yang Weilin Yu Wei Long;Jianfu Yang;Weilin Yu

作者机构：College of Mathematics and Information ScienceJiangxi Normal UniversityNanchang 330022China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2020年第63卷第11期

页      面：2267-2286页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11501264 and 11871253) the Natural Science Foundation of Jiangxi Province(Grant No.20171BCB23030) Jiangxi Provincial Department of Education Fund supported by National Natural Science Foundation of China(Grant Nos.11671179 and 11771300)。 

主　　题：multipeak solutions fractional Schrodinger-Poisson system reduction method 

摘      要：In this paper,we consider the following fractional Schrodinger-Poisson problem:{ε^2s(-Δ)^su+V(x)u+φu=|u|^p-1u,x∈R^N,(-Δ)^tφ=u^2,x∈R^N,where ε0 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).