32 citations · 98 across the 23 of their papers we have counts for
3 papers · 1 filter
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result
Matteo Focardi, Andrea Marchese, Emanuele Spadaro
In this note we prove an abstract version of a recent quantitative stratifcation priciple introduced by Cheeger and Naber (Invent. Math., 191 (2013), no. 2, 321-339; Comm. Pure App…
Phase field approximation of cohesive fracture models
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We obtain a cohesive fracture model as a -limit of scalar damage models in which the elastic coefficient is computed from the damage variable through a function of the…
A note on the hausdorff dimension of the singular set for minimizers of the mumford-shah energy
Camillo De Lellis, Matteo Focardi, Berardo Ruffini
We give a more elementary proof of a result by Ambrosio, Fusco and Hutchinson to estimate the Hausdorff dimension of the singular set of minimizers of the Mumford-Shah energy (see…