17 citations · 33 across the 4 of their papers we have counts for
4 papers · 1 filter
Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group
Gianmarco Giovannardi, Manuel Ritoré
For a strictly convex set of class we consider its associated sub-Finsler -perimeter in and the prescribed mean cur…
Isoperimetric inequalities in conically bounded convex bodies
Manuel Ritoré, Efstratios Vernadakis
In this paper we consider the problem of minimizing the relative perimeter under a volume constraint in the interior of a conically bounded convex set, i.e., an unbounded convex bo…
Isoperimetric inequalities in convex cylinders and cylindrically bounded convex bodies
Manuel Ritoré, Efstratios Vernadakis
In this paper we consider the isoperimetric profile of convex cylinders , where is an -dimensional convex body, and of cylindrically bounded convex sets…
Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group H^n
Manuel Ritoré, César Rosales
In this paper we study sets in the -dimensional Heisenberg group $\hhn$ which are critical points, under a volume constraint, of the sub-Riemannian perimeter associated to the d…