Geometric Measure Theory

Areas: Analysis

The team works on problems in Calculus of Variations related to the sets of finite perimeter theory, geometric flows, geometric properties of PDEs.

A particular regard is given to the rigidity and the quantitative stability of shape optimization problems linked to physical models depicted via elliptic operators, as Laplacian eigenvalues or electrostatic capacities.

Faculty

Eleonora Cinti

Associate Professor

Fausto Ferrari

Full Professor

Berardo Ruffini

Associate Professor

External Collaborators:

Matteo Novaga, Joaquim Serra, Enrico Valdinoci, Lorenzo Brasco, Michael Goldman, Guido De Philippis, Dario Mazzoleni, Roberto Ognibene, Cyrill Muratov.