3 papers
math.AP2023
Global Compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group
Giampiero Palatucci, Mirco Piccinini, Letizia Temperini
We investigate some effects of the lack of compactness in the critical Sobolev embedding in the Heisenberg group.
math.AP2023
New perspectives on recent trends for Kolmogorov operators
Francesca Anceschi, Mirco Piccinini, Annalaura Rebucci
After carrying out an overview on the non Euclidean geometrical setting suitable for the study of Kolmogorov operators with rough coefficients, we list some properties of the funct…
math.AP2022
Borderline global regularity for nonuniformly elliptic systems
Cristiana De Filippis, Mirco Piccinini
We establish sharp global regularity results for solutions to nonhomogeneous, nonunifomrly elliptic systems with zero boundary conditions. In particular, we obtain everywhere Lipsc…