Inserted: 28 nov 2016
Last Updated: 3 oct 2021
Journal: J. Math. Pures Appl.
We prove two new approximation results of H-perimeter minimizing boundaries by means of intrinsic Lipschitz functions in the setting of the Heisenberg group $H^n$ with $n\ge2$. The first one is an improvement of $$ and is the natural reformulation in $H^n$ of the classical Lipschitz approximation in $R^n$. The second one is an adaptation of the approximation via maximal function developed by De Lellis and Spadaro $$.
Keywords: Heisenberg group, Regularity of $H$-minimal surfaces, Lipschitz approximation