M. Focardi

activity

20082026

most citedOn the measure and the structure of the free boundary of the lower dimensional obstacle problem

32 citations · 98 across the 23 of their papers we have counts for

collaborators

Showing 2023 · math.APShow all

2 papers · 2 filters

math.AP2023

Approximation of $S B V$ functions with possibly infinite jump set

Sergio Conti, Matteo Focardi, Flaviana Iurlano

We prove an approximation result for functions $u \in S B V (Ω; R^{m})$ such that $\nabla u$ is $p$ -integrable, $1 \leq p < \infty$ , and $g_{0} (∣ [u] ∣)$ is integrable over the jump set…

math.AP2023

The regularity theory for the Mumford-Shah functional on the plane

Camillo De Lellis, Matteo Focardi

The aim of these notes is to give a complete self-contained account of the current state of the art in the regularity for planar minimizers and critical points of the Mumford-Shah…

Approximation of SBV functions with possibly infinite jump set

The regularity theory for the Mumford-Shah functional on the plane

Approximation of $S B V$ functions with possibly infinite jump set