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.
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页数：19
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