Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (5): 1194-1204.

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The Properties of Normalized Solutions for Mass Critical Kirchhoff Type Equations

Liu Haolin,Guo Helin*()   

  1. School of Mathematics, Taiyuan University of Technology, Taiyuan 030024
  • Received:2024-01-25 Revised:2024-04-03 Online:2024-10-26 Published:2024-10-16
  • Supported by:
    NSFC(12101442);Fundamental Research Program of Shanxi Province(20210302124257)

Abstract:

In this paper, we study the properties of normalized solutions for a class of mass critical Kirchhoff type equations by using constrained variational methods, including the existence, nonexistence and concentration behavior of normalized solutions.

Key words: Kirchhoff type equation, Energy estimates, Mass critical

CLC Number: 

  • O175.25
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