数学物理学报 ›› 2024, Vol. 44 ›› Issue (5): 1194-1204.

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质量临界 Kirchhoff 型方程正规化解的性质

刘昊麟,郭合林*()   

  1. 太原理工大学数学学院 太原 030024
  • 收稿日期:2024-01-25 修回日期:2024-04-03 出版日期:2024-10-26 发布日期:2024-10-16
  • 通讯作者: *郭合林, E-mail: guohelin@tyut.edu.cn
  • 基金资助:
    国家自然科学基金(12101442);山西省基础研究计划(20210302124257)

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)

摘要:

该文通过约束变分方法研究了一类质量临界 Kirchhoff 型方程正规化解的性质, 获得了该方程正规化解的存在性、非存在性以及集中性结果.

关键词: Kirchhoff 型方程, 能量估计, 质量临界

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

中图分类号: 

  • O175.25