Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A symmetry property for elliptic equations on the sphere   The goal of this paper is to study how the symmetry of the spherical domain
influences solutions of elliptic equations on such domain. The method pursued
is a variant of the moving plane method, discovered by Alexandrov (1962) and
used for differential equations by Gidas, Ni and Nirenberg (1979). We obtain a
reflectional symmetry result with respect to maxima and minima of solutions.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org