Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of nodal solutions for a nonlinear elliptic problem on
  symmetric Riemannian manifolds   We consider the problem -{\epsilon}^2\Delta_gu+u = |u|^{p-2}u in M, where
(M,g) is a symmetric Riemannian manifold. We give a multiplicity result for
antisymmetric changing sign solutions.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th