Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A degree theory for second order nonlinear elliptic operators with
  nonlinear oblique boundary conditions   In this paper we introduce an integer-valued degree for second order fully
nonlinear elliptic operators with nonlinear oblique boundary conditions. We
also give some applications to the existence of solutions of certain nonlinear
elliptic equations arising from a Yamabe problem with boundary and reflector
problems.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas