Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on a Sobolev-Hardy inequality   We compute the optimal constant for a generalized Hardy-Sobolev inequality,
and using the product of two symmetrizations we present an elementary proof of
the symmetries of some optimal functions. This inequality was motivated by a
nonlinear elliptic equation arising in astrophysics.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat