J4 ›› 2012, Vol. 50 ›› Issue (05): 949-950.

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Existence of Solution of Some Elliptic Equations

WAN Baocheng, LI Jian, LI Shijun   

  1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China
  • Received:2012-07-27 Online:2012-09-26 Published:2012-09-29
  • Contact: LI Jian E-mail:liemperor@163.com

Abstract:

We investigated the existence of nontrivial solutions of some quasilinear elliptic equations, obtaining a new existence result solution of the equations by applying the mountain pass theorem under asymptotic behavior of the nonlinearity at zero and at infinity.

Key words: existence, nontrivial solution, quasilinear elliptic equation, mountain pass theorem

CLC Number: 

  • O175.25