Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (1): 1-8.

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Multiplicity of Weak Solutions for a Class of p-LaplacianElliptic Equations with SignChanging Weight Function#br#

LIU Xian, GAO Wenjie, HAN Yuzhu   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2018-06-21 Online:2019-01-26 Published:2019-02-07
  • Contact: HAN Yuzhu E-mail:yzhan@jlu.edu.cn

Abstract: We considered the multiplicity of weak solutions for a class of p-Laplacian elliptic equations with signchanging weight function. By means of Nehari’s manifold and logarithmic Sobolev inequality, we proved  that there were  at least two nontrivial weak solutions to the problem.

Key words: signchanging weight function, multiplicity, Nehari’s manifold

CLC Number: 

  • O175.8