On the $C^{1,\alpha }$ Regularity of $p$-Harmonic Functions in the Heisenberg Group

Abstract

We present a proof of the local Hölder regularity of the horizontal derivatives of weak solutions to the $p$-Laplace equation in the Heisenberg group ${\mathbb{H}}^1$ for $p>4$.

arXiv comment13 pages; Updated references and corrected typos