Blow-up estimates for a quasi-linear reaction-diffusion system

摘要

In this paper, some sufficient conditions under which the quasilinear elliptic system -div(delu(p-2)delu) = u(m1)v(n1), -div(delu(q-2)delu) = u(m2)v(n2) in R-N (Ngreater than or equal to3) has no radially symmetric positive solution is derived. Then by using this non-existence result, blow-up estimates for a class of quasilinear reaction-diffusion systems u(t) = div(delu(p-2)delu) + u(m1)v(n1), v(t) = div(delv(q-2),delv) + u(m2)v(n2) with the homogeneous Dirichlet boundary value conditions are obtained. Copyright (C) 2003 John Wiley Sons, Ltd. [References: 31]