烟台大学学报（自然科学与工程版）2006，Vol.19Issue(1)：1-5,5.
一类奇异半线性椭圆型问题解的存在性的注记
A Remark on the Existence of Solutions for a Singular Semilinear Elliptic Problem
摘要
Abstract
It is proved that the singular Dirichlet problem -Δu = k(x)g(u),u > 0, x ∈Ω, u|Ω = 0 has at least one solution u∈C2 (Ω) as long as the linear problem .-Δu=k(x),u＞0,x∈Ω,u|Ω=0 has a unique solution v∈C2(Ω)∩C(), where Ω is a bounded domain with smooth boundary in RN, g∈C1((0,∞), (0,∞)), g is bounded above, and lims→0+ g(s) = ∞, and k∈Cα(Ω) is nonnegative and nontrivial on Ω关键词
半线性椭圆型方程/Dirichler 问题/存在性Key words
semilinear elliptic equation/Dirichlet problem/existence分类
数理科学引用本文复制引用
张志军..一类奇异半线性椭圆型问题解的存在性的注记[J].烟台大学学报（自然科学与工程版）,2006,19(1):1-5,5.基金项目
国家自然科学基金资助项目(10071066) （10071066）
山东省自然科学基金资助项目(Y2002A10). （Y2002A10）
