Quasilinear elliptic systems in divergence form associated to general nonlinearities

The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω ⊂ R N associated to general continuous nonlinearities satisfying a local assumption near zero. As a consequence, in the case Ω = R N , we obtain nonexistence theorems of positive solutions. No hypotheses on the solutions at infinity are assumed.