Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 507-520.

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Nehari Method to Solutions for a Class of Quasilinear Schrödinger Equations in RN

Li Jing1,2, Chen Caisheng1   

  1. 1 College of Science, Hohai University, Nanjing 210094;
    2 College of Science, Linyi University, Shandong Linyi 276005
  • Received:2015-09-12 Revised:2016-04-07 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Supported by the NSFC (11571092) and the Fundamental Research Funds for the Central Universities of China (2014B06314, 2015B31014)

Abstract:

We consider the existence of positive solutions to a class of quasilinear Schrödinger equations with a parameter. By the Nehari argument and Schwarz symmetrization method, the existence of solutions in two different cases is established.

Key words: Quasilinear Schrödinger equations, Nehari manifold method, Schwarz symmetrization

CLC Number: 

  • O175.25
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