Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of curvature in fractional Hardy--Sobolev inequality with the
  Spectral Dirichlet Laplacian   We prove the attainability of the best constant in the fractional
Hardy--Sobolev inequality with boundary singularity for the Spectral Dirichlet
Laplacian. The main assumption is the average concavity of the boundary at the
origin.

12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci