Positive solutions for singular p(z)$p(z)$-equations

We consider a Dirichlet problem driven by the anisotropic p-Laplacian, with a reaction having the competing effects of a singular term and a parametric superlinear perturbation. We prove a bifurcation-type theorem describing the changes of the set of positive solutions as the parameter varies. We also prove the existence of minimal positive solutions.

Automated summary

This paper discusses a Dirichlet problem driven by the anisotropic p-Laplacian, with a reaction that has the competing effects of a singular term and a parametric superlinear perturbation. A bifurcation-type theorem describing the changes of the set of positive solutions as the parameter varies is proven. The existence of minimal positive solutions is also proven.