Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems

被引：83
|
作者：
Cui, SB [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 41卷 / 1-2期
关键词：
singular elliptic equation; boundary value problem; positive solution; existence; nonexistence;
D O I：
10.1016/S0362-546X(98)00271-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The general problem of finding the positive solutions for singular semilinear elliptic boundary value problems in general domains is presented. It is shown how the divergence term affects existence of solutions. The existence and nonexistence theorems are proved.
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页码：149 / 176
页数：28
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