Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity and estimates for $J$-holomorphic discs attached to a maximal
  totally real submanifold   We prove that pseudo-holomorphic discs attached to a maximal totally real
submanifold inherit their regularity from the regularity of the submanifold and
of the almost complex structure. The proof is based on the computation of an
explicit lower bound for the Kobayashi metric in almost complex manifolds,
which also yields explicit estimates of H\"olderian norms of such discs.

1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ