Nonlocal equations and fractional minimal surfaces

Areas: Analysis

The teams deals with nonlocal problems as well as: regularity of solutions for equations governed by the fractional Laplace operator or more general nonlocal operators, free boundary problems for fractional operators, nonlocal minimal surfaces and  fractional mean curvature flow. In particular, we are interested in geometric, qualitative, and regularity properties of the previous listed problems.

Faculty:

Nicola Abatangelo

Senior assistant professor (fixed-term)

Eleonora Cinti

Associate Professor

Francesca Colasuonno

Senior assistant professor (fixed-term)

Fausto Ferrari

Full Professor

Berardo Ruffini

Senior assistant professor (fixed-term)

Eugenio Vecchi

Senior assistant professor (fixed-term)

Research fellows - Ph.D. Students

Nicolò Forcillo

Research fellow

Teaching tutor

External Collaborators:

Xavier Cabré, Daniela de Silva, Matteo Novaga, Joaquim Serra, Carlo Sinestrari, Enrico Valdinoci, Lorenzo Brasco, Giorgio Tortone.