Solutions of Perturbed Fractional Schrodinger-Poisson System with Critical Nonlinearity in R3

被引：0
|
作者：
Zheng, Lvzhou [1 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2021年 / 25卷 / 04期
基金：
中国国家自然科学基金;
关键词：
fractional Schrodinger-Poisson system; critical nonlinearity; variational methods; EXISTENCE; EQUATIONS; STATES;
D O I：
10.11650/tjm/201204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of semiclassical solutions of the fractional Schrodinger-Poisson system with critical exponent in R-3. Under suitable assumptions, we show that the problem has at least one nontrivial solution provided that is an element of <= epsilon(delta) where epsilon(delta) is sufficiently small positive number.
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页码：775 / 791
页数：17
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