Positive solutions for nonlinear parametric singular Dirichlet problems

We consider a nonlinear parametric Dirichlet problem driven by the p-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Caratheodory perturbation which is (p - 1)-linear near vertical bar infinity. The problem is uniformly nonresonant with respect to the principal eigenvalue of ( -Delta(p), W-0(1,p) (Omega)). We look for positive solutions and prove a bifurcation-type theorem describing in an exact way the dependence of the set of positive solutions on the parameter gimel > 0.