EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

被引：3

作者：

ZHONG Jinbiao CHEN Zuchi(Department of Mathematics

机构：

来源：

Journal of Systems Science & Complexity | 2004年 / 03期

基金：

中国国家自然科学基金;

关键词：

Leray-Schauder degree; positive radial solution; completely continuous operator;

D O I：

暂无

中图分类号：

O19 [动力系统理论];

学科分类号：

070104 ; 0711 ; 071101 ;

摘要：

In this paper an existence theorem of positive radial solutions to a class of semilinear elliptic systems is proved by the Leray-Schauder degree theorem. Also, a nonexistence theorem is obtained. As an application of the main theorem, an example is given.

引用

页码：325 / 331

页数：7

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