Journal of Jilin University Science Edition

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Multiplicity of Solutions of Asymptotically Linearp-Kirchhoff Type Equations

WANG Tian’e, LI Jian, NIU Taiyang, LI Junjie   

  1. College of Information Technology, Jilin Agricultural University,  Changchun 130118, China
  • Received:2014-10-13 Online:2015-05-26 Published:2015-05-21
  • Contact: LI Jian E-mail:liemperor@163.com

Abstract:

This paper deals with the existence of solutions for p-Kirchhoff type equations in bounded domains under Dirichlet boundary condition. When the nonlinearity is asymptotically linear at infinity, there exist two nontrivial solutions of the p-Kirchhoff type equation which can be proved with the aid of the mountain pass theorem.

Key words: multiplicity, mountain pass theorem, p-Kirchhoff type equation

CLC Number: 

  • O175.25