32 citations · 98 across the 23 of their papers we have counts for
4 papers · 2 filters
Existence of strong minimizers for the Griffith static fracture model in dimension two
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We consider the Griffith fracture model in two spatial dimensions, and prove existence of strong minimizers, with closed jump set and continuously differentiable deformation fields…
The classical obstacle problem for nonlinear variational energies
Matteo Focardi, Francesco Geraci, Emanuele Spadaro
We develop the complete free boundary analysis for solutions to classical obstacle problems related to nondegenerate nonlinear variational energies. The key tools are optimal $C^{1…
Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture
Matteo Focardi
We review some classical results and more recent insights about the regularity theory for local minimizers of the Mumford and Shah energy and their connections with the Mumford and…
Existence of minimizers for the d stationary Griffith fracture model
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We consider the variational formulation of the Griffith fracture model in two spatial dimensions and prove existence of strong minimizers, that is deformation fields which are cont…