Existence result for fractional Schrodinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition

被引：8
作者：
Shen, Liejun [1 ,2 ]
机构：
[1] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
[2] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 01期
关键词：
Fractional Schrodinger-Poisson systems; Bessel operator; Perturbation method; Ambrosetti-Rabinowitz type condition; Monotone assumption; POSITIVE SOLUTIONS; SOLITARY WAVES; EQUATION; MAXWELL;
D O I：
10.1016/j.camwa.2017.09.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present study is concerned with the nontrivial solutions for fractional Schrodinger-Poisson system with the Bessel operator. Under certain assumptions on the nonlinearity f, a nontrivial nonnegative solution is obtained by perturbation method for the given problem. In particular, the Ambrosetti-Rabinowitz type condition or the monotone assumption on the nonlinearity is unnecessary. (C) 2017 The Author(s). Published by Elsevier Ltd.
引用
收藏
页码：296 / 306
页数：11
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