Periodic solutions of a Dirac equation with concave and convex nonlinearities

被引：16
|
作者：
Ding, Yanheng [1 ,2 ]
Liu, Xiaoying [3 ]
机构：
[1] Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
[3] Jingsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 258卷 / 10期
基金：
美国国家科学基金会;
关键词：
Dirac equation; Periodic solutions; Variational method; Concave and convex nonlinearities; STATIONARY STATES; EXISTENCE;
D O I：
10.1016/j.jde.2015.01.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with multiplicity of periodic solutions of a Dirac equation with concave and convex nonlinearities. We establish a variational setting and obtain two sequences of periodic solutions with large and small energies, respectively, for the problem by variational method. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：3567 / 3588
页数：22
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