Caselles, Vicente; Chambolle, Antonin; Novaga, Matteo(European Mathematical Society (EMS), 2010)
We show that generically the subsets of RN with finite volume RN have a unique Cheeger set, in the sense that there always exists a nearby set which has a unique Cheeger set. We also prove that Cheeger sets are C1,1, when ...
In this paper, we study the minimizing total variation flow ut=div(Du/∣Du∣) in N for initial data u0 in Lloc1(N), proving an existence and uniqueness result. Then we characterize all bounded sets Ω of finite perimeter in ...
We prove the existence of a volume preserving crystalline mean curvature flat flow starting from a compact convex set and its convergence, modulo a time-dependent translation, to a Wulff shape with the corresponding volume. ...
The aim of this paper is to study the isoperimetric problem with fixed volume inside convex sets and other related geometric variational problems in the Gauss space, in both the finite and infinite dimensional case. We ...
