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

LI Zhen-hui, XU Li-ping

doi:10.13371/j.cnki.chin.q.j.m.2021.01.004

Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 1: 49 - 66

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.01.004

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

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School of Mathematics and Statistics, Henan University of Science and Technology,

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.

Received date: 2020-12-16

Online published: 2021-03-30

Supported by

Supported by National Natural Science Foundation of China (Grant No. 11671403, 11671236)

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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

Cite this article

LI Zhen-hui, XU Li-ping . Existence and Multiplicity of Positive Solutions for a Coupled Fourth-Order System of Kirchhoff Type[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(1) : 49 -66 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.01.004

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