Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (5): 1373-1381.

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Existence of Positive Solutions for a Class of Schrödinger-Newton Systems with Critical Exponent

Cheng Qingfang1,Liao Jiafeng1,2,*(),Yuan Yanxiang3   

  1. 1School of Mathematics and Information, China West Normal University, Sichuan Nanchong 637009
    2College of Mathematics Education, China West Normal University, Sichuan Nanchong 637009
    3School of Mathematics and Statistics, Qiannan Normal University for Nationaliyies, Guizhou Duyun 558000
  • Received:2022-09-05 Revised:2023-04-10 Online:2023-10-26 Published:2023-08-09
  • Contact: Jiafeng Liao E-mail:liaojiafeng@163.com
  • Supported by:
    Natural Science Foundation of Sichuan(2023NSFSC0073);Fundamental Research Funds of China West Normal University(18B015);Young Science and Technology Scholars of Guizhou Provincial Department of Education (KY2016316)

Abstract:

In this paper, we study the existence of positive solutions for a class of Schrödinger-Newton system with critical exponents on bounded domain, and obtain two positive solutions by the variational method.

Key words: Schr?dinger-Newton system, Critical exponent, Mountain pass theorem, Positive solutions

CLC Number: 

  • O177.91
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