Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems

We show the existence of entire explosive positive radial solutions for quasilinear elliptic systems div(|∇u|m−2∇u) = p(|x|)g(v), div(|∇v|n−2∇v) = q(|x|)f (u) on RN, where f and g are positive and non-decreasing functions on (0,∞) satisfying the Keller–Osserman condition.  2003 Elsevier Inc. All rights reserved.