Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The isoperimetric problem for a class of non-radial weights and
  applications   We study a class of isoperimetric problems on $\mathbb{R}^{N}_{+} $ where the
densities of the weighted volume and weighted perimeter are given by two
different non-radial functions of the type $|x|^k x_N^\alpha$. Our results
imply some sharp functional inequalities, like for instance,
Caffarelli-Kohn-Nirenberg type inequalities.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol