Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system

被引：25

作者：

Chen, SH

Lu, GZ ^{[1
]}

机构：

[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

[2] Simon Fraser Univ, Dept Math & Stat, Burnaby, BC V5A 1S6, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 07期

基金：

美国国家科学基金会;

关键词：

semilinear elliptic system; Dirichlet problem; positive radial solutions; existence and nonexistence;

D O I：

10.1016/S0362-546X(98)00143-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some existence and nonexistence results of positive radial solutions to the following semilinear elliptic system: Δu+f(u,v) = 0 and Δ+g(u,v) = 0 in Rn, n≥3, are established. The theorems for nonexistence extend the exponents k,p,q,t to k,t≥1 and p,q≥0 and includes both nonexistence and existence of positive radial solutions. The theorems are much simply stated and can be more easily verified for the exponents k,p,q,t.

引用

页码：919 / 932

页数：14

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