Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric positive solutions to nonlinear Choquard equations with
  potentials   Existence results for a class of Choquard equations with potentials are
established. The potential has a limit at infinity and it is taken invariant
under the action of a closed subgroup of linear isometries of $\mathbb{R}^N$.
As a consequence, the positive solution found will be invariant under the same
action. Power nonlinearities with exponent greater or equal than two or less
than two will be handled. Our results include the physical case.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph