Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An epiperimetric inequality approach to the regularity of the free
  boundary in the Signorini problem with variable coefficients   In this paper we establish the $C^{1,\beta}$ regularity of the regular part
of the free boundary in the Signorini problem for elliptic operators with
variable Lipschitz coefficients. This work is a continuation of the recent
paper [GSVG14], where two of us established the interior optimal regularity of
the solution. Two of the central results of the present work are a new
monotonicity formula and a new epiperimetric inequality.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph