Ground states for asymptotically linear fractional Schrodinger-Poisson systems

被引：4
|
作者：
Chen, Peng [1 ]
Liu, Xiaochun [2 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2021年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fractional Schrodinger-Poisson system; Asymptotically linear; Variational methods; 35J50; 35R11;
D O I：
10.1007/s11868-021-00390-2
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 system (-Delta )su+u+K(x)phi (x)u=g(x,u), x is an element of R3,(-Delta )s phi =K(x)u2, x is an element of R3, where s is an element of(<mml:mfrac>12</mml:mfrac>,1) and g(x, u) is asymptotically linear at infinity. Under certain assumptions on K(x) and g(x, u), we prove the existence of ground state solutions by variational methods.
引用
收藏
页数：19
相关论文
共 50 条
12345