Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (5): 869-876.

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Infinitely Many High Energy Solutions of p-Kirchhoff-Type System with Sign-Changing Weight

Li Qin1, Yang Zuodong2,3   

  1. 1. School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Anhui Bengbu 233030;
    2. School of Teacher Education, Nanjing Normal University, Nanjing 210097;
    3. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023
  • Received:2016-12-07 Revised:2017-05-24 Online:2017-10-26 Published:2017-10-26
  • Supported by:
    Supported by the NSFC (11571093, 11471164) and the Natural Science Foundation of Education Bureau of Anhui Province (KJ2017A432)

Abstract: In this paper, we study a p-Kirchhoff-type system with sign-changing weight. Under some more general assumptions, we obtain the existence of infinitely many high energy solutions by using the Symmetric Mountain Pass Theorem of Rabinowitz[10, Theorem 9.12], which unifies and generalizes the recent results of Zhou et al[3], Wu[4] and Li et al[6].

Key words: Existence, Infinitely many solutions, Symmetric Mountain Pass Theorem, Signchanging weight

CLC Number: 

  • O175.2
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