Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 1999-04-15

Journal: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals: SCIE、Scopus

Volume: 232

Issue: 2

Page Number: 293-311

ISSN: 0022-247X

Abstract: 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.