Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of the derivatives of $p$-orthotropic functions in the plane
  for $1<p<2$   We present a proof of the $C^1$ regularity of $p$-orthotropic functions in
the plane for $1<p<2$, based on the monotonicity of the derivatives. Moreover
we achieve an explicit logarithmic modulus of continuity.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat