INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRODINGER-MAXWELL EQUATIONS

被引：17

作者：

Xu, Jiafa ^{[1
]}

Wei, Zhongli ^{[2
]}

O'Regan, Donal ^{[3
]}

Cui, Yujun ^{[4
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Shandong Jianzhu Univ, Dept Math, Jinan 250101, Shandong, Peoples R China

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[4] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fractional Laplacian; Schrodinger-Maxwell equations; infinitely many solutions; BOUNDARY-VALUE-PROBLEMS; KLEIN-GORDON-MAXWELL; BLOW-UP SOLUTIONS; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; KIRCHHOFF TYPE; EXISTENCE; UNIQUENESS; SYSTEM;

D O I：

10.11948/2156-907X.20190022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper using fountain theorems we study the existence of infinitely many solutions for fractional Schrodinger-Maxwell equations {(-Delta)(alpha)u + lambda V(x)u + phi u = f(x,u) - mu g(x)vertical bar u vertical bar(q-2)u, in R-3, (-Delta)(alpha)phi = K(alpha)u(2), in R-3, where lambda, mu > 0 are two parameters, alpha is an element of (0,1], K-alpha = pi(-alpha)Gamma(alpha)/pi(-(3-2 alpha)/2)Gamma((3-2 alpha)/2) and (-Delta)(alpha) is the fractional Laplacian. Under appropriate assumptions on f and g we obtain an existence theorem for this system.

引用

页码：1165 / 1182

页数：18

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