Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (3): 491-498.

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The Existence of Two Non-Negative Solutions for the Generalized Choquard-Pekar Equation

Li Jinju, Zhang Zhengjie   

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079
  • Received:2016-09-27 Revised:2017-03-13 Online:2017-06-26 Published:2017-06-26
  • Supported by:
    Supported by the NSFC (11071095, 11371159)

Abstract: In the paper, we used variational method to study the generalized Choquard-Pekar equation on RN. We get that there exists two non-negative solutions for our problem, one solution is a local minimum and the other is of the mountain pass type.

Key words: Choquard-Pekar, Non-negative solution, Mountian pass theorem

CLC Number: 

  • O175.23
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