Positive solutions of partial discrete Kirchhoff type problems

被引：0
作者：
Xiong, Feng [1 ,2 ]
Huang, Wentao [2 ]
Xia, Yonghui [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
[2] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Peoples R China
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 91卷
关键词：
Kirchhoff type problem; Infinitely many solutions; Partial difference equation; Critical point theory; BOUNDARY-VALUE PROBLEM; NONLINEAR DIFFERENCE-EQUATIONS; MULTIPLE SOLUTIONS; SUBHARMONIC SOLUTIONS; HOMOCLINIC SOLUTIONS; PHI-LAPLACIAN; EXISTENCE;
D O I：
10.1016/j.aej.2024.01.069
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, by using critical point theory, we study the infinitely many solutions of partial discrete Kirchhoff type problems. Moreover, we acquire some sufficient conditions for the existence of positive solutions to the boundary value problems by using the strong maximum principle. As far as we know, this is the research of partial discrete Kirchhoff type problems for the first time. Finally, our major results are explained with four examples.
引用
收藏
页码：503 / 509
页数：7
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