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 2015 · math.APShow all

4 papers · 2 filters

math.AP2015★ 29 cited

Integral representation for functionals defined on $S B D^{p}$ in dimension two

Sergio Conti, Matteo Focardi, Flaviana Iurlano

We prove an integral representation result for functionals with growth conditions which give coercivity on the space $S B D^{p} (Ω)$ , for $Ω \subset R^{2}$ . The space $S B D^{p}$ of fu…

math.AP2015

Which special functions of bounded deformation have bounded variation?

Sergio Conti, Matteo Focardi, Flaviana Iurlano

Functions of bounded deformation ( $B D$ ) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation ($…

math.AP2015

An Epiperimetric Inequality for the Thin Obstacle problem

Matteo Focardi, Emanuele Spadaro

We prove an epiperimetric inequality for the thin obstacle problem, extending the pioneering results by Weiss on the classical obstacle problem (Invent. Math. 138 (1999), no. 1, 23…

math.AP2015★ 1 cited

Endpoint regularity of $2$ d Mumford-Shah minimizers

Camillo De Lellis, Matteo Focardi

We prove an $ε$ -regularity theorem at the endpoint of connected arcs for $2$ -dimensional Mumford-Shah minimizers. In particular we show that, if in a given ball $B_{r} (x)$ …

Integral representation for functionals defined on SBDp in dimension two

Which special functions of bounded deformation have bounded variation?

An Epiperimetric Inequality for the Thin Obstacle problem

Endpoint regularity of 2d Mumford-Shah minimizers

Integral representation for functionals defined on $S B D^{p}$ in dimension two

Endpoint regularity of $2$ d Mumford-Shah minimizers