Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry of extremals of functional inequalities via spectral estimates
  for linear operators   We prove new symmetry results for the extremals of the
Caffarelli-Kohn-Nirenberg inequalities in any dimension larger or equal than 2,
in a range of parameters for which no explicit results of symmetry were
previously known.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an