Positive solutions for nonlinear singular problems with sign-changing nonlinearities

We consider a Dirichlet problem driven by general nonlinear, nonhomogeneous differential operator. The reaction has the competing effects of singular term and parametric perturbation which is superlinear sign-changing. Using variational tools from critical point theory together with truncation comparison techniques, we show that for all small values parameter, at least two positive smooth solutions. Also, existence smallest solution (minimal solution).