一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性

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

数学季刊 ›› 2021, Vol. 36 ›› Issue (1): 49-66.doi: 10.13371/j.cnki.chin.q.j.m.2021.01.004

一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性

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

收稿日期:2020-12-16 出版日期:2021-03-30 发布日期:2021-03-30
作者简介: 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.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 11671403, 11671236)

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

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)

摘要/Abstract

摘要： 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.

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

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

中图分类号:

O175.29

李振辉, 许丽萍. 一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性[J]. 数学季刊, 2021, 36(1): 49-66.

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.

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一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性

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

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