Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The thin obstacle problem for some variable coefficient degenerate
  elliptic operators   In this paper we establish the optimal interior regularity and the
$C^{1,\gamma}$ smoothness of the regular part of the free boundary in the thin
obstacle problem for a class of degenerate elliptic equations with variable
coefficients.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph