29 citations · 109 across the 27 of their papers we have counts for
5 papers · 1 filter
Lipschitz functions with prescribed blowups at many points
Andrea Marchese, Andrea Schioppa
In this paper we prove generalizations of Lusin-type theorems for gradients due to Giovanni Alberti, where we replace the Lebesgue measure with any Radon measure . We apply this…
Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps
Camillo de Lellis, Andrea Marchese, Emanuele Spadaro +1
In this article we prove that the singular set of Dirichlet-minimizing -valued functions is countably -rectifiable and we give upper bounds for the -dimensional Mi…
On a conjecture of Cheeger
Guido De Philippis, Andrea Marchese, Filip Rindler
This note details how a recent structure theorem for normal -currents proved by the first and third author allows to prove a conjecture of Cheeger concerning the structure of Li…
On the structure of flat chains modulo
Andrea Marchese, Salvatore Stuvard
In this paper, we prove that every equivalence class in the quotient group of integral -currents modulo in Euclidean space contains an integral current, with quantitative es…
Lusin type theorems for Radon measures
Andrea Marchese
We add to the literature the following observation. If is a singular measure on which assigns measure zero to every porous set and $f:\mathbb{R}^n\rightarrow\mat…