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arXiv · 1606.07951

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

Diego Ricciotti
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Abstract

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

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Diego Ricciotti. 2016-06-25. On the $C^{1,\alpha}$ Regularity of $p$-Harmonic Functions in the Heisenberg Group. https://arxiv.org/abs/1606.07951

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