On the 𝐶^{1,𝛼} regularity of 𝑝-harmonic functions in the Heisenberg group

Ricciotti, Diego

doi:10.1090/proc/13961

On the $C^{1,\alpha }$ regularity of $p$-harmonic functions in the Heisenberg group
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Proc. Amer. Math. Soc. 146 (2018), 2937-2952 Request permission

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 $p>4$.

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