526 citations · 1.2k across the 69 of their papers we have counts for
70 papers · 1 filter
Level sets of fractional Sobolev functions
Camillo De Lellis, Ming-Yuan Chang, Svitlana Mayboroda
We prove a coarea-type result for scalar functions in fractional Sobolev spaces with , , and . Our theorem shows t…
Regularity thresholds for anomalous dissipation and related phenomena in passive scalars
Marco Bagnara, Daniel W. Boutros, Camillo De Lellis +1
We prove the absence of anomalous dissipation for passive scalars driven by some random autonomous divergence-free vector fields in . In dimension we just need c…
Some rigorous remarks on Migdal's momentum loop equation
Bruè Elia, Camillo De Lellis
We give a rigorous mathematical treatment of some portions of the theory developed by Alexander Migdal on the momentum loop equation.
Remarks and Conjectures on Stationary Varifolds
Camillo Brena, Stefano Decio, Camillo De Lellis
In this paper, we revisit some known results about stationary varifolds using simpler arguments. In particular, we obtain the height bound and the Lipschitz approximation along wit…
rectifiability of stationary varifolds
Camillo Brena, Camillo De Lellis, Federico Franceschini
In this paper we prove that, for every integers and , the support of any stationary -dimensional integer rectifiable varifold in an open set $U\subset \ma…
Caffarelli's work on elliptic free boundary problems
Camillo De Lellis
The aim of the note is to illustrate some of the ideas introduced by Luis Caffarelli in his groundbreaking works on the regularity theory for elliptic free boundary problems, in a…