J4 ›› 2013, Vol. 51 ›› Issue (02): 233-236.

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Multiplicity of Solutions of Kirchhoff Type of 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:2013-03-26 Published:2013-03-27
  • Contact: LI Jian E-mail:liemperor@163.com

Abstract:

The authors dealt with the multiplicity of solutions of Kirchhoff type of equations. Using the asymptotic properties of the nonlinearity at infinity and zero, we obtained two positive solutions and two negative solutions by means of the Ekeland variational principle and mountain pass theorem.

Key words:  multiplicity, positive solutions, negative solutions, Kirchhoff type equations

CLC Number: 

  • O175.25