F. Franceschini

collaborators

3 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 $I^¼$ -homogeneous solutions to the thin obstacle problem in $R^{3},$ with $I^¼ \in (m, m + 1)$ . For $m$ large, $I^¼ - m$ converges to $…

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 $I^»$ belonging to intervals of the form…

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

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