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arXiv · 1612.00263

Improved Lipschitz approximation of $H$-perimeter minimizing boundaries

Roberto Monti·Giorgio Stefani
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Abstract

We prove two new approximation results of $H$-perimeter minimizing boundaries by means of intrinsic Lipschitz functions in the setting of the Heisenberg group $\mathbb{H}^n$ with $n\ge2$. The first one is an improvement of a result of Monti and is the natural reformulation in $\mathbb{H}^n$ of the classical Lipschitz approximation in $\mathbb{R}^n$. The second one is an adaptation of the approximation via maximal function developed by De Lellis and Spadaro.

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Roberto Monti, Giorgio Stefani. 2016-12-01. Improved Lipschitz approximation of $H$-perimeter minimizing boundaries. https://doi.org/10.1016/j.matpur.2017.04.002

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