Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (6): 1125-1128.

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A Remark on a Constrained Variational Problem

Guo Helin, Wang Yunbo   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071;
    University of Chinese Academy of Science, Beijing 100049
  • Received:2016-11-24 Revised:2017-04-02 Online:2017-12-26 Published:2017-12-26
  • Supported by:
    Supported by the NSFC (11471331)

Abstract: In this paper, we mainly improve the existing result in Theorem 1.1 of paper[9] about the constrained variational problem, and we will give the explicit expression of the parameter c*.

Key words: Constrained variational problem, Kirchhoff equation, Young inequality, Gagliardo-Nirenberg inequality

CLC Number: 

  • O175.25
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