Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (4): 687-696.

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On the Existence of Positive Solutions for Generalized Quasilinear Schrödinger Equations

Xie Chaodong1, Chen Zhihui2   

  1. 1 School of Economics & Management, Guizhou University for Ethinic Minorities, Guiyang 550025;
    2 School of Mathematics, South China University of Technology, Guangzhou 510640
  • Received:2017-04-14 Revised:2017-11-15 Online:2018-08-26 Published:2018-08-26
  • Supported by:
    Supported by the NSFC (11371146) and the Science and Technology Foundation of Guizhou Province of China under Grant Qiankehe-J-LKM[2012]19

Abstract: In this paper, we prove the existence of positive solutions for generalized quasilinear Schrödinger equations. By detailed analysis of g(u) in -div(g2(u)▽u), we have better results.

Key words: Schrödinger equations, Mountain Pass Theorem, Critical points

CLC Number: 

  • O175.25
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