一类带p-Laplace算子的二阶离散问题正解的存在性  

Existence of positive solutions for a class of second-order discrete problems with p-Laplace operators

作　　者：仲海林 高承华 ZHONG Hailin;GAO Chenghua(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《浙江大学学报(理学版)》2025年第3期366-370,共5页Journal of Zhejiang University(Science Edition)

基　　金：国家自然科学基金资助项目(12461039)。

摘　　要：运用上下解方法证明了一类带Dirichlet边界条件的二阶离散p-Laplace问题正解的存在性和多解性;并将所得结果推广至相应的二阶离散p-Laplace系统。We obtain the existence and multiplicity of positive solutions for a class of second-order discrete p-Laplace problems with Dirichlet boundary conditions by using the upper and lower solution method;The obtained results are then extended to the corresponding second-order discrete p-Laplace systems.

关 键 词：二阶差分方程 p-Laplace 上下解方法 正解 存在性 

分 类 号：O175.8[理学—数学]