F. Franceschini

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20232025

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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…

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

C∞ rectifiability of stationary varifolds

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