Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (1): 92-100.

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Existence of Multiple Solutions for a Fractional $ p$-Kirchhoff Equation

Pan Rou1, Chen Lin1,2   

  1. 1School of Mathematics and Statistics, Yili Normal University, Xinjiang Yining 835000;
    2Institute of Applied Mathematics, Yili Normal University, Xinjiang Yining 835000
  • Received:2024-04-03 Revised:2024-10-11 Online:2025-02-26 Published:2025-01-08
  • Supported by:
    Natural Science Foundation of Xinjiang Uygur Autonomous Region (2022D01C459)

Abstract: In this paper, by constructing the Nehari manifold and defining the corresponding fibering map, we discuss the existence of multiple solutions for a class of fractional $p$-Kirchhoff equation.

Key words: fractional elliptic equation, the $p$-Kirchhoff equation, Nehari manifold

CLC Number: 

  • O175.2
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