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Indexed by:期刊论文

Date of Publication:1999-04-15

Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals:Scopus、SCIE

Volume:232

Issue:2

Page Number:293-311

ISSN No.: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.