Friday, May 23, 2025 — 12:00 pm — aula M2.5, edificio Matematica
Nonlocal Sobolev spaces and perimeters
Abstract: We will introduce the notions of nonlocal Sobolev functions and nonlocal perimeters associated to a (possibly singular) kernel.
We will discuss the main properties of these objects, focusing on embeddings and isoperimetric inequalities, and we will show their applications to the study of geometric variational problems.
The talk is based on joint works with Giorgio Stefani (University of Padova)
and Giuseppe Cosma Brusca (SISSA, Trieste).