Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non degeneracy for solutions of singularly perturbed nonlinear elliptic
  problems on symmetric Riemannian manifolds   Given a symmetric Riemannian manifold (M, g), we show some results of
genericity for non degenerate sign changing solutions of singularly perturbed
nonlinear elliptic problems with respect to the parameters: the positive number
{\epsilon} and the symmetric metric g. Using these results we obtain a lower
bound on the number of non degenerate solutions which change sign exactly once.

12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con