Boundary value problems for a second-order difference equation involving the mean curvature operator

被引：1

作者：

Wang, Zhenguo ^{[1
]}

Xie, Qilin ^{[2
]}

机构：

[1] Huanghuai Univ, Sch Math & Stat, Zhumadian, Peoples R China

[2] Guangdong Univ Technol, Sch Math & Stat, Guangzhou, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期

关键词：

Discrete boundary value problems; Mean curvature operator; Palais-Smale condition; Critical-point theory; DISCRETE PHI-LAPLACIAN; HOMOCLINIC SOLUTIONS; POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; EXISTENCE; SYSTEMS; ORBITS;

D O I：

10.1186/s13661-022-01637-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of multiple solutions for discrete boundary value problems involving the mean curvature operator by means of Clark's Theorem, where the nonlinear terms do not need any asymptotic and superlinear conditions at 0 or at infinity. Further, the existence of a positive solution has been considered by the strong comparison principle. As an application, some examples are given to illustrate the obtained results.

引用

页数：13

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