Properties of subelliptic operators

Areas: Analysis

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.

Faculty

Annalisa Baldi

Associate Professor

Andrea Bonfiglioli

Full Professor

Giovanna Citti

Full Professor

Giovanni Cupini

Full Professor

Serena Federico

Junior assistant professor (fixed-term)

Fausto Ferrari

Full Professor

Vittorio Martino

Associate Professor

Annamaria Montanari

Full Professor

Daniele Morbidelli

Associate Professor

Francesco Uguzzoni

Associate Professor

Research fellows - Ph.D. Students

Chiara Guidi

Teaching tutor

Shirsho Mukherjee

Borsista di Ricerca

External Collaborators:

Maria Manfredini, Marianna Chatzakou, Boguslaw Zegarlisky, Yannik Sire, Luca Capogna, Xiao Zhong, Juan Manfredi.