Special Session 42: Regularity results for solutions of nonlinear systems and applications

New results on anisotropic singular Dirichlet problems

Andrea Scapellato
University of Catania
Italy
Co-Author(s):    
Abstract:
Aim of this talk is to show some recent results on anisotropic singular Dirichlet problems. In particular, we consider a nonlinear elliptic Dirichlet problem driven by the anisotropic $(p,q)$-Laplacian and with a nonparametric reaction that is the sum of a singular and of a superlinear terms. In addition, we consider a Dirichlet problem driven by the $(p(z),q(z))$-Laplacian and a reaction that is the sum of a parametric singular term and a superlinear perturbation.