Multiple solutions for the fractional Schrodinger-Poisson system with concave-convex nonlinearities

被引：0

作者：

Cui, Na ^{[1
,2
]}

Sun, Hong-Rui ^{[2
]}

机构：

[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 09期

关键词：

Fractional Schrodinger-Poisson system; concave-convex nonlinearities; multiple solutions; POSITIVE SOLUTIONS; GROUND-STATE; EQUATION; EXISTENCE;

D O I：

10.1080/17476933.2022.2061476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the following fractional Schrodinger-Poisson system {(-Delta)(s)u + V(x)u + phi u = f(x, u) + lambda g(x, u) in R-3, (-Delta)(alpha)phi = u(2) in R-3, where lambda is a parameter, s, alpha is an element of (0,1) and 2s + 2 alpha > 3. Under some suitable assumptions on V, f and g, we obtained the multiplicity of solutions for the above system, by applying variational methods and Ekeland's variational principle. Some recent results from the literature are improved and extended.

引用

页码：1550 / 1565

页数：16

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