16 citations · 35 across the 9 of their papers we have counts for
11 papers
The engulfing property for sections of convex functions in the Heisenberg group and the associated quasi--metric
Andrea Calogero, Rita Pini
In this paper we investigate the property of engulfing for -convex functions defined on the Heisenberg group . Starting from the horizontal sections introduced b…
The Engulfing Property from a Convex Analysis Viewpoint
Andrea Calogero, Rita Pini
In this note we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex an…
Infinite geodesics of sub-Finsler distances in the Heisenberg groups
Z. M. Balogh, A. Calogero
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control theory we prove that in this geometric setting the infinite geodesics are horizon…
On the -cone-functions for H-convex sets
Andrea Calogero, Rita Pini
Given a compact and H-convex subset of the Heisenberg group , with the origin in its interior, we are interested in finding a homogeneous H-convex function …
Differential games and Hamilton-Jacobi equations in the Heisenberg group
Andrea Calogero
The purpose of this work is twofold. First we study the solutions of a Hamilton-Jacobi equation of the form , where repres…
On the local boundedness of maximal H--monotone operators
Z. M. Balogh, A. Calogero, R. Pini
In this paper we prove that maximal H-monotone operators whose domain is all the Heisenberg group are locally bounded. This implies that they are…