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

AbstractWe 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