数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1451-1460.doi: 10.1007/s10473-019-0521-y

• 论文 • 上一篇    

GROUND STATE SOLUTIONS FOR THE CRITICAL KLEIN-GORDON-MAXWELL SYSTEM

王丽霞1, 汪小明2, 张鲁豫3   

  1. 1. School of Sciences, Tianjin Chengjian University, Tianjin 300384, China;
    2. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China;
    3. School of Mathematical and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, China
  • 收稿日期:2016-06-29 修回日期:2019-04-29 出版日期:2019-10-25 发布日期:2019-11-11
  • 通讯作者: Lixia WANG E-mail:wanglixia0311@126.com
  • 作者简介:Xiaoming WANG,E-mail:wxmsuda03@163.com;Luyu ZHANG,E-mail:zhangluyu2009@163.com
  • 基金资助:
    L.X. Wang was partially supported by the National Natural Science Foundation of China (11801400, 11571187) and the Postdoctoral Science Foundation of China (2017M611159). X.M. Wang was partially supported by the National Natural Science Foundation of China (11861053).

GROUND STATE SOLUTIONS FOR THE CRITICAL KLEIN-GORDON-MAXWELL SYSTEM

Lixia WANG1, Xiaoming WANG2, Luyu ZHANG3   

  1. 1. School of Sciences, Tianjin Chengjian University, Tianjin 300384, China;
    2. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China;
    3. School of Mathematical and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, China
  • Received:2016-06-29 Revised:2019-04-29 Online:2019-10-25 Published:2019-11-11
  • Contact: Lixia WANG E-mail:wanglixia0311@126.com
  • Supported by:
    L.X. Wang was partially supported by the National Natural Science Foundation of China (11801400, 11571187) and the Postdoctoral Science Foundation of China (2017M611159). X.M. Wang was partially supported by the National Natural Science Foundation of China (11861053).

摘要:

In this article, we study the following Klein-Gordon-Maxwell system involving critical exponent
(KGM)

where λ and ω are two positive constants. We found the existence of positive ground state solutions (that is, for solutions which minimizes the action functional among all the solutions) of (KGM) which improves some previous existence result in Carri?o et al.(2012)[8].

关键词: ground state solution, Klein-Gordon-Maxwell system, Ekeland's variational principle, mountain pass theorem

Abstract:

 

In this article, we study the following Klein-Gordon-Maxwell system involving critical exponent
(KGM)

where λ and ω are two positive constants. We found the existence of positive ground state solutions (that is, for solutions which minimizes the action functional among all the solutions) of (KGM) which improves some previous existence result in Carri?o et al.(2012)[8].

Key words: ground state solution, Klein-Gordon-Maxwell system, Ekeland's variational principle, mountain pass theorem

中图分类号: 

  • 35B33