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Positive radial solutions for a quasilinear system

In this article, general existence theorems are presented for a quasilinear system We obtain some existence theorems by a simple application of the Schauder fixed-point theorem and degree theory. We do not require conditions of the nonlinearity f, g at zero or at infinity, and we do not need upper bounds for p, q involving the dimension n. We study the case where problem (P) is not of variational type.