Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (4): 907-913.

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Constrained Minimizers of Nonlinear S-P Equations with Dirac Potentials

Chen Xi(),Wang Zhengping*()   

  1. Department of Mathematics, Wuhan University of Technology, Wuhan 430070
  • Received:2023-10-31 Revised:2024-01-02 Online:2024-08-26 Published:2024-07-26
  • Supported by:
    NSFC(12371118);NSFC(11931012);NSFC(12071482)

Abstract:

In this paper, we study the constrained variational problem of a class of nonlinear Schrödinger-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 [2].

Key words: Dirac potentials, Schrödinger-Poisson equations, Constrained minimizers

CLC Number: 

  • O177.91
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