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

页数：19

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