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

页码：296 / 306

页数：11

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