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arxiv: 1606.07951 · v4 · pith:FBE35UOBnew · submitted 2016-06-25 · 🧮 math.AP

On the C^(1,α) Regularity of p-Harmonic Functions in the Heisenberg Group

classification 🧮 math.AP
keywords groupheisenbergregularityalphaderivativesequationfunctionsharmonic
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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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