Séminaires

Bijections between isoperimetric sets, prescribed curvature sets, and p-Cheeger sets

par Giorgio Saracco (Università di Ferrara)

Europe/Paris
Salle 316 (Carmes)

Salle 316

Carmes

Description

Isoperimetric sets, prescribed curvature sets, and p-Cheeger sets of a given domain Omega are all optimizers of some suitable functional whose leading order term is the perimeter. In this talk, we shall see that these sets are in suitable bijection when Omega is a planar set satisfying a ``no-neck condition’’. Based on joint works with Caroccia, Leonardi, Neumayer.