Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group ${\mathbb{H}}^1$

Gianmarco Giovannardi, Julián Pozuelo, Manuel Ritoré

In the Heisenberg group ${\mathbb{H}}^1$, equipped with a left-invariant and not necessarily symmetric norm in the horizontal distribution, we provide examples of entire area-minimiz…