Abstract
We study positive radial solutions of quasilinear elliptic systems with a gradient term in the form where is either a ball or the whole space, , , , and . We first classify all the positive radial solutions in case is a ball, according to their behavior at the boundary. Then we obtain that the system has non-constant global solutions if and only if and . Finally, we describe the precise behavior at infinity for such positive global radial solutions by using properties of three component cooperative and irreducible dynamical systems.
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