Singular \(p\)-Laplacian equations with superlinear perturbation (Q1627711)

The authors study a nonlinear Dirichlet problem with $p$-Laplacian, a singular term and a parametric perturbation. A bifurcation type result is shown: existence of at least two positive solutions for small parameter $\lambda$, and no solutions for large values of the parameter. Finally monotonicity and continuity of the function which to each small $\lambda$ assigns the smallest positive solution is shown.