Parametric Singular Problems with an Indefinite Perturbation
摘要
We consider a parametric Dirichlet problem driven by a nonhomogenous differential operator. In the parametric reaction we have the competing effects of a singular term and of a superlinear perturbation which is sign-changing. Using variational tools together with truncation and comparison techniques we show that for all small values of the parameter the problem has at least two smooth solutions.