Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $C^{1,\alpha}$ Regularity of $p$-Harmonic Functions in the
  Heisenberg Group   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 $.

36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg