Properties of subelliptic operators

The group is active in the following research areas:

Schauder estimates for the sub-Laplacian in Carnot groups
regularity at the boundary for subelliptic operators; existence of global fundamental solutions for some classes of subelliptic operators;
global and invariant Harnack’s inequalities for subelliptic operators in divergence form;
Harnack’s type inequalities for subelliptic operators in non-divergence form;
subelliptic Monge-Ampère equations on Lie groups;
U-bounds and global Poincaré inequalities related to probability measures on Carnot groups.