Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (1): 101-119.

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Multiplicity of High Energy Solutions for a Class of Nonlocal Critical Elliptic System

Fu Peiyuan(),Xia Aliang()   

  1. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022
  • Received:2023-01-05 Revised:2023-04-13 Online:2024-02-26 Published:2024-01-10
  • Supported by:
    NSFC(12161044);Jiangxi Province Natural Science Foundation(20224ACB218001);Jiangxi Province Natural Science Foundation(20212BAB211013);Jiangxi Province Natural Science Foundation(20224BCD41001)

Abstract:

By using variational methods and topological degree theory, this paper proved a class of coupled nonlocal elliptic system involving the Hardy-Littlewood-Sobolev critical exponents has at least two positive high energy solutions.

Key words: Nonlocal elliptic system, Hardy-Littlewood-Sobolev critical exponents, Variational methods, Topological degree theory

CLC Number: 

  • O175
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