数学物理学报 ›› 2023, Vol. 43 ›› Issue (6): 1723-1730.

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含强制位势的分数阶薛定谔泊松方程的正规化解

李仁华(),王征平*()   

  1. 武汉理工大学理学院数学系 武汉 430070
  • 收稿日期:2022-11-03 修回日期:2023-03-06 出版日期:2023-12-26 发布日期:2023-11-16
  • 通讯作者: *王征平,E-mail: zpwang@whut.edu.cn
  • 作者简介:李仁华,E-mail: 261378@whut.edu.cn
  • 基金资助:
    国家自然科学基金(11871386);国家自然科学基金(11931012)

Normalized Solution of Fractional Schrödinger-Poisson Equations with Coercive Potential

Li Renhua(),Wang Zhengping*()   

  1. Center for Mathematical Sciences, Wuhan University of Technology, Wuhan 430070
  • Received:2022-11-03 Revised:2023-03-06 Online:2023-12-26 Published:2023-11-16
  • Supported by:
    NSFC(11871386);NSFC(11931012)

摘要:

该文应用约束变分方法研究了一类含有强制位势的分数阶薛定谔泊松方程正规化解的存在性, 推广了有关文献的结果.

关键词: 分数阶薛定谔泊松方程, 强制位势, 约束变分方法, 正规化解

Abstract:

In this paper, we study the existence of normalized solutions for a class of fractional Schrödinger-Poisson equations with coercive potential by using the constrained variational method, which generalizes the results of the relevant literature.

Key words: Fractional Schrödinger-Poisson equation, Coercive potential, Constrained variational method, Normalized solutions.

中图分类号: 

  • O177.91