Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (4): 1062-1072.

Previous Articles     Next Articles

Normalized Ground States for the Quasi-linear Schrödinger Equation with Combined Nonlinearities

Gui Kunming(),Tao Hongshan(),Yang Jun*()   

  1. School of Mathematics, South China University of Technology, Guangzhou 510640
  • Received:2022-06-17 Revised:2023-01-12 Online:2023-08-26 Published:2023-07-03
  • Contact: Jun Yang E-mail:guikunming@qq.com;sora1924@outlook.com;yangjun@scut.edu.cn
  • Supported by:
    NSF of Guangdong Province(2018A0303130196)

Abstract:

In this paper, we mainly investigate the existence of normalized ground states for the Schrödinger equation with combined nonlinearities. Our results extend those reported in [1-2]. Compared with the case they studied, the structure of the energy function correspongding to the equation in this paper is more complex.

Key words: Normalized solutions, Quasi-linear Schr?dinger equation, Perturbation method

CLC Number: 

  • O175.29
Trendmd