13 citations · 21 across the 5 of their papers we have counts for
5 papers
The Minkowski problem for the torsional rigidity
A. Colesanti, M. Fimiani
We prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded convex subsets of the $…
Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals
Andrea Colesanti, Eugenia Saorin-Gomez
We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family of inequalities of Poincaré type on the unit sphere and on the boundary of smooth convex bodies in the…
On geometric properties of sets of positive reach in
Andrea Colesanti, Paolo Manselli
Some geometric facts concerning sets with positive reach in the Euclidean -dimensional space are proved. For and in and let us denote b…
From the Brunn-Minkowski inequality to a class of Poincaré type inequalities
Andrea Colesanti
We present an argument which leads from the Brunn-Minkowski inequality to a Poincare' type inequality on the boundary of convex bodies with smooth boundary and positive Gauss curva…
A sharp Rogers-Shephard type inequality for the p-difference body of a planar convex body
Chiara Bianchini, Andrea Colesanti
We prove a sharp Rogers-Shephard type inequality for the p-difference body of a convex body in the two-dimensional case, for every p greater than or equal to one.