西北师范大学学报（自然科学版）2026，Vol.62Issue(5)：83-88,6.DOI:10.16783/j.cnki.nwnuz.2026.05.009
单位球上一类四阶椭圆边值问题的正径向解
Positive radial solution of a fourth-order elliptic boundary value problem on unit ball
摘要
Abstract
The existence of positive radical solution for the fourth-order elliptic boundary value problem{Δ2u=f(|x|,u,Δu),x ∈Ω,u|∂Ω=0,Δu|∂Ω=0 is discussed,whereΩ={x∈RN:|x|＜1},N≥2,f:[0,1]×R+×R-→R is a continuous function.Under certain local inequality conditions of the nonlinearity f,an existence result of positive radial solution is obtained by using the lower and upper solutions method and truncating function technique.关键词
四阶椭圆边值问题/正径向解/上下解/截断函数技巧Key words
fourth-order elliptic boundary value problem/positive radial solution/lower and upper solution/truncating function technique分类
数理科学引用本文复制引用
李永祥,刘洋..单位球上一类四阶椭圆边值问题的正径向解[J].西北师范大学学报（自然科学版）,2026,62(5):83-88,6.基金项目
国家自然科学基金资助项目(12061062,12161080) （12061062,12161080）
