Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry of components, Liouville-type theorems and classification
  results for some nonlinear elliptic systems   We prove the symmetry of components and some Liouville-type theorems for,
possibly sign changing, entire distributional solutions to a family of
nonlinear elliptic systems encompassing models arising in Bose-Einstein
condensation and in nonlinear optics. For these models we also provide precise
classification results for non-negative solutions. The sharpness of our results
is also discussed.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol