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
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
收藏
页码:1165 / 1182
页数:18
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