Infinitely many solutions for Schrodinger-Maxwell equations with indefinite sign subquadratic potentials

被引：28
|
作者：
Chen, Peng [1 ]
Tian, Cai [2 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China
[2] Wuhan Univ Technol, Sch Transportat, Wuhan 430070, Hubei, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 226卷
关键词：
Schrodinger-Maxwell equations; Sublinear; Genus; Critical point theory; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; POISSON SYSTEMS; SOLITARY WAVES; BOUND-STATES; EXISTENCE;
D O I：
10.1016/j.amc.2013.10.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with multiplicity of solutions of a class of sublinear Schrodinger-Maxwell equations {-Delta u + V(x)u + phi u = f (x, u), in R-3, -Delta phi = u(2); lim(vertical bar x vertical bar ->infinity) phi(x) = 0, in R-3. Under more relaxed assumptions on V and f, we establish some existence criteria to guarantee that the above problem has at least one or infinitely many nontrivial solutions by using the genus properties in critical theory. (C) 2013 Elsevier Inc. All rights reserved.
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页码：492 / 502
页数：11
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