Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The regularity of Euclidean Lipschitz boundaries with prescribed mean
  curvature in three-dimensional contact sub-Riemannian manifolds   In this paper we consider a set $E\subset\Omega$ with prescribed mean
curvature $f\in C(\Omega)$ and Euclidean Lipschitz boundary $\partial E=\Sigma$
inside a three-dimensional contact sub-Riemannian manifold $M$. We prove that
if $\Sigma$ is locally a regular intrinsic graph, the characteristic curves are
of class $C^2$. The result is shape and improves the ones contained in
\cite{MR2583494} and \cite{GalRit15}.

35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int