Special Session 1: Analysis of PDEs and Free Boundary Problems

Quasilinear critical equations with Hardy term on Carnot groups

Annunziata Loiudice
University of Bari (Italy)
Italy
Co-Author(s):    
Abstract:
We present some recent results about quasilinear equations with critical exponent and Hardy perturbation for p-sub-Laplacians on stratified Lie groups. In particular, we provide existence and qualitative behavior, at the singularity and at infinity, for weak entire solutions and we study the associated Brezis-Nirenberg type problem on bounded domains.