J4 ›› 2013, Vol. 51 ›› Issue (03): 363-368.

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Existence of Nontrivial Solutions of a Class ofNoncooperative Elliptic Systems

WEI Yucheng1,2, LIU Guanggang2   

  1. 1. Department of Mathematics, Hechi University, Yizhou 546300, Guangxi Zhuang Autonomous Region, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2012-09-19 Online:2013-05-26 Published:2013-05-17
  • Contact: LIU Guanggang E-mail:lgg112@163.com

Abstract:

Aiming at a class of noncooperative elliptic system, we obtained a nontrivial solution of this elliptic system using a generalized linking theorem and monotonicity technique.

Key words: noncooperative elliptic system, weak linking, monotonicity trick, nontrivial solution

CLC Number: 

  • O176.3