数学物理学报

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含有Dirac位势的非线性S-P方程的约束极小元

陈熙,王征平   

  1. 武汉理工大学
  • 收稿日期:2023-10-31 修回日期:2024-01-02 发布日期:2024-01-26
  • 通讯作者: 王征平
  • 基金资助:
    数学物理中的非线性椭圆型方程研究

Constrained minimizers of nonlinear S-P equations with Dirac potentials

Xi Chen1,Zheng-Ping WANG2   

  1. 1.
    2. Wuhan University of Technology
  • Received:2023-10-31 Revised:2024-01-02 Published:2024-01-26
  • Contact: Zheng-Ping WANG

摘要: 本文研究了一类含有Dirac位势的非线性Schrodinger-Poisson方程的约束变分问题,在一定的参数和指标假设条件下,我们证明了约束极小元的存在性,推广了文献[7]中的相关结论。

关键词: Dirac位势, Schrodinger-Poisson方程, 约束极小元

Abstract: In this paper, we study the constrained variational problem of a class of nonlinear Schrodinger-Poisson equations with Dirac potentials. Under the assumptions of certain parameters and indices, we prove the existence of constrained minimizers, and the relevant conclusions is further extended in reference [7].

Key words: Dirac potentials, Schrodinger-Poisson equations, constrained minimizers