Chinese Quarterly Journal of Mathematics ›› 2021, Vol. 36 ›› Issue (1): 49-66.doi: 10.13371/j.cnki.chin.q.j.m.2021.01.004

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Existence and Multiplicity of Positive Solutions for a Coupled Fourth-Order System of Kirchhoff Type

  

  1. School of Mathematics and Statistics, Henan University of Science and Technology,
  • Received:2020-12-16 Online:2021-03-30 Published:2021-03-30
  • About author: LI Zhen-hui (1995-), male, native of Shangqiu, Henan, postgraduate of Henan University of Science and Technology, engages in nonlinear analysis; XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis; Corresponding Author: XU Li-ping.
  • Supported by:
    Supported by National Natural Science Foundation of China (Grant No. 11671403, 11671236)

Abstract: In this paper, we study a coupled fourth-order system of Kirchhoff type. Under appropriate hypotheses of Vi(x) for i=1,2, f and g, we obtained two main existence theorems of weak solutions for the problem by variational methods. Some recent results
are extended.

Key words: A coupled fourth-Order system of Kirchhoff type, Positive solutions, Lack of compactness, Variational methods

CLC Number: