Abstract

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 R N , where f and g are positive and non-decreasing functions on (0,∞) satisfying the Keller–Osserman condition.

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