Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system

被引：76

作者：

Zheng, SN ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China

[2] CALTECH, Dept Appl Math, Pasadena, CA 91125 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 232卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jmaa.1999.6273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We get simple conditions under which the elliptic system -Delta u = u(p1)v(q1), -Delta v = u(p2)v(q2) in R-n, n greater than or equal to 3 with p(i) + q(i) > 1, i = 1, 2 has no positive radially symmetric solutions. Then by using this nonexistence result, we establish blow-up estimates for reaction-diffusion system of Fujita type u(t), = Delta u + u(p1)v(q1), v(t) = Delta v + u(p2)v(q2) with the homogeneous Dirichlet boundary value condition. (C) 1999 Academic Press.

引用

页码：293 / 311

页数：19

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