51 citations · 248 across the 29 of their papers we have counts for
4 papers · 1 filter
Constancy of the dimension in codimension one and locality of the unit normal on spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
The aim of this paper is threefold. We first prove that, on spaces, the boundary measure of any set with finite perimeter is concentrated on the -regular set…
BV Functions and Sets of Finite Perimeter on Configuration Spaces
Elia Bruè, Kohei Suzuki
This paper contributes to foundations of the geometric measure theory in the infinite dimensional setting of the configuration space over the Euclidean space equipped…
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth
Gioacchino Antonelli, Elia Bruè, Mattia Fogagnolo +1
In this paper we provide new existence results for isoperimetric sets of large volume in Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth. We find…
Improved regularity estimates for Lagrangian flows on spaces
Elia Bruè, Qin Deng, Daniele Semola
This paper gives a contribution to the study of regularity of Lagrangian flows on non-smooth spaces with lower Ricci curvature bounds. The main novelties with respect to the existi…