Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry breaking for an elliptic equation involving the Fractional
  Laplacian   We study the symmetry breaking phenomenon for an elliptic equation involving
the fractional Laplacian in a large ball. Our main tool is an extension of the
Strauss radial lemma involving the fractional Laplacian, which might be of
independent interest; and from which we derive compact embedding theorems for a
Sobolev-type space of radial functions with power weights.

10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin