12 citations · 19 across the 6 of their papers we have counts for
7 papers · 1 filter
Two optimization problems in thermal insulation
Dorin Bucur, Giuseppe Buttazzo, Carlo Nitsch
We consider two optimization problems in thermal insulation: in both cases the goal is to find a thin layer around the boundary of the thermal body which gives the best insulation.…
Generalized elastica problems under area constraint
Vincenzo Ferone, Bernd Kawohl, Carlo Nitsch
It was recently proved that the elastic energy of a closed curve with curvature has a minimizer among all plane, simple, regular and closed…
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…
Poincaré trace inequalities in 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 of the -dimensional Euclidean space ${\mathbb…
Balls minimize trace constants in BV
Andrea Cianchi, Vincenzo Ferone, Carlo Nitsch +1
Balls are shown to have the smallest optimal constant, among all admissible Euclidean domains, in Poincaré type boundary trace inequalities for functions of bounded variation with…
A remark on optimal weighted Poincaré inequalities for convex domains
Vincenzo Ferone, Carlo Nitsch, Cristina Trombetti
We prove a sharp upper bound on convex domains, in terms of the diameter alone, of the best constant in a class of weighted Poincaré inequalities. The key point is the study of an…