4 citations · 6 across the 5 of their papers we have counts for
5 papers
The prescribed mean curvature equation for -graphs in the sub-Finsler Heisenberg group
Gianmarco Giovannardi, Andrea Pinamonti, Julián Pozuelo +1
We study the sub-Finsler prescribed mean curvature equation, associated to a strictly convex body , for -graphs on a bounded domain in the Hei…
Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group
Gianmarco Giovannardi, Julián Pozuelo, Manuel Ritoré
In the Heisenberg group , equipped with a left-invariant and not necessarily symmetric norm in the horizontal distribution, we provide examples of entire area-minimiz…
Existence of isoperimetric regions in sub-Finsler nilpotent groups
Julián Pozuelo
We consider a nilpotent Lie group with a bracket-generating distribution $\hhh$ and an asymmetric left-invariant norm induced by a convex body $K\subseteq\hhh$ contai…
Pansu-Wulff shapes in
Julián Pozuelo, Manuel Ritoré
We consider an asymmetric left-invariant norm in the first Heisenberg group induced by a convex body containing the origin in i…
A direct proof of the Brunn-Minkowski inequality in Nilpotent Lie groups
Julián Pozuelo
The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Mi…