F. Franceschini

activity

20232025

collaborators

4 papers

math.AP2025

Solutions to the Thin Obstacle Problem with non-2D frequency

Federico Franceschini, Ovidiu Savin

For all odd positive integers $m$ , we construct $μ$ -homogeneous solutions to the thin obstacle problem in $R^{3},$ with $μ \in (m, m + 1)$ . For $m$ large, $μ - m$ converges to $1$ ,…

math.AP2025

$C^{\infty}$ rectifiability of stationary varifolds

Camillo Brena, Camillo De Lellis, Federico Franceschini

In this paper we prove that, for every integers $m \geq 2$ and $n \geq 1$ , the support of any stationary $m$ -dimensional integer rectifiable varifold $V$ in an open set $U\subset \ma…

math.AP2024

A note on the frequency gaps between integers in the thin obstacle problem

Federico Franceschini, Ovidiu Savin

We give a simple proof of the fact that - in all dimensions - there are no homogeneous solutions to the thin obstacle problem with frequency $λ$ belonging to intervals of the form…

math.AP2023

Partial regularity for $B V^{B}$ minimizers

Federico Franceschini

We prove an $ε$ -regularity theorem for $B V^{B}$ minimizers of strongly $B$ -quasiconvex functionals with linear growth, where $B$ is an ellipti…

Solutions to the Thin Obstacle Problem with non-2D frequency

C∞ rectifiability of stationary varifolds

A note on the frequency gaps between integers in the thin obstacle problem

Partial regularity for BVB minimizers

$C^{\infty}$ rectifiability of stationary varifolds

Partial regularity for $B V^{B}$ minimizers