Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (3): 578-586.

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Existence of A Ground State Solution for A Class of Superlinear p-Laplace Equations with Negative Potential Functions

Deng Yihua, Luo Liping, Zhou Lijun   

  1. Department of Mathematical and Computational Sciences, Hengyang Normal University, Hunan Hengyang 421002
  • Received:2014-04-04 Revised:2014-09-21 Online:2015-06-25 Published:2015-06-25

Abstract:

Using (C)c sequences and variational methods, we discuss the existence of a ground state solution to p-Laplace equations without the Ambrosetti-Rabinowitz condition. By chosing suitable Banach space, we prove that there exists a ground state solution to a class of superlinear p-Laplace equations with negative potential functions in RN.

Key words: Superlinear p-Laplace equations, Ground state solution, (C)c sequence, Varia-tional methods

CLC Number: 

  • O175.25
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