Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (4): 1103-1111.

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Existence of Positive Solutions for Klein-Gordon-Maxwell Systems with an Asymptotically Linear Nonlinearity

Yu Duan*(),Xin Sun()   

  1. College of Science, Guizhou University of Engineering Science, Guizhou Bijie 551700
  • Received:2021-03-09 Online:2022-08-26 Published:2022-08-08
  • Contact: Yu Duan E-mail:duanyu3612@163.com;sunxinwan@163.com
  • Supported by:
    the NSFC(11661021);the Natural Science Foundation of Education of Guizhou(KY[2019]065);the Natural Science Foundation of Education of Guizhou(KY[2020]144)

Abstract:

This article concerns the following Klein-Gordon-Maxwell system where $ \omega> 0 $ is a constant and $ \lambda\geq1 $ is a parameter. When the nonlinearity satisfies asymptotically linear growth at infinity, the existence result of positive solutions for the system is obtained via variational methods. Our result completes some recent works concerning the existence of solutions of this system.

Key words: Klein-Gordon-Maxwell system, Variational methods, Asymptotically linear, Positive solutions

CLC Number: 

  • O177.91
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