Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-degeneracy of Gauss curvature equation with negative conic
  singularity   We study the Gauss curvature equation with negative singularities. For a
local mean field type equation with only one negative index we prove a
uniqueness property. For a global equation with one or two negative indexes we
prove the non-degeneracy of the linearized equations.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas