摘要
本文讨论了半线性椭圆方程△u+f(u)=0在三种边界条件下正解的存在性和唯一性,给出了正解存在和唯一的一些条件.
In this paper, we consider the existence of positive solution for the semilinear elliptic equation △u + f(u) = 0, x∈Ω (Ω being an annular domain in Rn) under one of the following conditions:
we prove that, if R1(or R2) is a fixed constant, then there is an open
interval (a,b) such that the equation has unique positive solution if R2∈
(a,b) (or R1∈(a,b)); the equation has no positive solution if R2∈(a,b) (or
出处
《杭州大学学报（自然科学版）》
CSCD
1991年第2期136-144,共9页
Journal of Hangzhou University Natural Science Edition
基金
国家自然科学基金
关键词
椭圆型方程
正解
存在性
唯一性
semilinear elliptic equations
positive solutions
Lipschitz condition
Bessel function
