V. Ferone

activity

20102026

most citedThe longest shortest fence and sharp Poincaré-Sobolev inequalities

6 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.OC2016

Generalized elastica problems under area constraint

Vincenzo Ferone, Bernd Kawohl, Carlo Nitsch

It was recently proved that the elastic energy $E (γ) = \frac{1}{2} \int_{γ} κ^{2} d s$ of a closed curve $γ$ with curvature $κ$ has a minimizer among all plane, simple, regular and closed…

math.OC2016

On the maximal mean curvature of a smooth surface

Vincenzo Ferone, Carlo Nitsch, Cristina Trombetti

Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and f…

math.OC2016

Poincaré trace inequalities in $B V (B^{n})$ with nonstandard normalization

Andrea Cianchi, Vincenzo Ferone, Carlo Nitsch +1

Extremal functions are exhibited in Poincaré trace inequalities for functions of bounded variation in the unit ball $B^{n}$ of the $n$ -dimensional Euclidean space ${\mathbb…

Generalized elastica problems under area constraint

On the maximal mean curvature of a smooth surface

Poincaré trace inequalities in BV(Bn) with nonstandard normalization

Poincaré trace inequalities in $B V (B^{n})$ with nonstandard normalization