浙江大学学报（理学版）2024，Vol.51Issue(4)：438-442,5.DOI:10.3785/j.issn.1008-9497.2024.04.006
一类带(p,q)-Laplace算子离散问题正解的存在性
Existence of positive solutions for a class of discrete problems with(p,q)-Laplace operators
摘要
Abstract
By using the upper and lower solution method,this study proves the existence of positive solutions for a class of discrete problems with(p,q)-Laplace operators{-Δ(ϕp(Δu(t-1)))-Δ(ϕq(Δu(t-1)))=λf(u(t)),t∈[1,T]Z,Δu(0)=u(T+1)=0,where p>q>1,λ>0 is a parameter,T>2 is a fixed positive integer,[1,T]Z={1,2,…,T},ϕr(s)=|s|r-2 s,Δu(t)=u(t+1)-u(t),f:(0,∞)→R is p-sublinear at ∞ with possible singularity at 0.关键词
半正/(p,q)-Laplace/正解/上下解方法Key words
semipositone/(p,q)-Laplace/positive solution/the upper and lower solution method分类
数理科学引用本文复制引用
石敏瑞,高承华..一类带(p,q)-Laplace算子离散问题正解的存在性[J].浙江大学学报（理学版）,2024,51(4):438-442,5.基金项目
国家自然科学基金资助项目(11961060). （11961060）
