Abstract
We consider an elliptic Dirichlet problem, driven by a general nonlinear, nonhomogeneous differential operator and a reaction that has the competing effects of a parametric singular term and of a multivalued perturbation which is gradient dependent (convection). Using truncations, comparisons and the theory of nonlinear operators of monotone type, we show that for all small values of the parameter λ>0, the problem has a positive and smooth solution.
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