Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some generic properties of non degeneracy for critical points of
  functionals and applications   We give some generic properties of non degeneracy for critical points of
functionals. We apply these results, obtaining some theorems of multiplicity of
solutions for the equation -{\epsilon}^2\Delta_g u+u=|u|p-2u in M, u in
H_g^1(M) where M is a compact Riemannian manifold of dimension n and 2<
p<2n/(n-2).

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc