Several Existence Theorems for Positive Radial Solutions to a Semilinear Elliptic BVP

被引：1
|
作者：
姚庆六
机构：
来源：
Communications in Mathematical Research | 2001年 / 02期
关键词：
second order elliptic equation; Dirichlet BVP in annulus; positive radial solution; existence theorem;
D O I：
10.13447/j.1674-5647.2001.02.008
中图分类号：
O175.25 [椭圆型方程]; O175.8 [边值问题];
学科分类号：
070104 ;
摘要：
The existence of positive radial solutions to the second order semilinear elliptic BVPΔu(X)+g(|X|)f(u(X))=0, R 1<|X|<R 2, u(X)=0, |X|=R 1 or |X|=R 2is considered. A general existence criterion and several existence theorems of positive radial solution are established. Here it is not required that lim l→0f(l)/l and lim l→∞f(l)/l exist.
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页码：169 / 174
页数：6
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