Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (2): 476-483.

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Orbital Stability of Standing Waves for a Class of Inhomogeneous Nonlinear Schrödinger Equation

Liu Xinyan(),Li Xiaoguang*()   

  1. School of Mathematical Science and V.C. & V.R. Key Lab, Sichuan Normal University, Chengdu 610066
  • Received:2023-03-22 Revised:2023-10-25 Online:2024-04-26 Published:2024-04-07
  • Supported by:
    NSFC(11771314)

Abstract:

In this paper, we study the existence and orbital stability of standing waves for a class of nonhomogeneous nonlinear Schrödinger equations under mass subcritical conditions. By means of a variational principle, we discuss the compactility of minimization sequence of constrained variational problems. From this, we obtain the existence of standing waves and prove the orbital stability of standing waves.

Key words: Minimization sequence, Compactness, Orbital stability of standing waves

CLC Number: 

  • O175.2
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