Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Regularity for minimal graphs over convex domains in hyperbolic
  space   In this paper we study the global regularity for the solution to the
Dirichlet problem of the equation of minimal graphs over a convex domain in
hyperbolic spaces.
  We find that the global regularity depends only on the convexity of the
domain but independent of its smoothness.
  Basing on the invariance of the problem under translation and rotation
transforms, we construct the super-solution to the problem, by which we prove
the optimal and accurate global regularity for this problem.

24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex