Special Session 88: Diffusion problems with non-standard growth conditions

Recent developments on noncoercive anisotropic operators with singular lower order terms
Giuseppina di Blasio
University of Campania "L. Vanvitelli"
Italy
Co-Author(s):    
Abstract:
The aim of this talk is to provide an overview of several results obtained in recent years concerning a class of noncoercive anisotropic elliptic equations. We focus on problems where the presence of a convection term characterized by coefficients belonging to suitable Marcinkiewicz spaces, leads to a loss of coercivity in the associated differential operator. In this talk, starting from the classical results, I will illustrate the most recent developments achieved in collaboration with F. Feo and G. Zecca, trying to provide an overview of the current state of the art on this topic.