Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Theory Approach for a Class of Radial Indefinite Variational
  Problems   Considering the radial nonlinear Schrodinger equation - \Delta u + V(x)u =
g(x,u) in R^N, N \geq 3 we aim to find a radial nontrivial solution for it,
where V changes sign ensuring this problem is indefinite and g is an
asymptotically linear nonlinearity. We work with variational methods
associating to the problem an indefinite functional in order to apply our
Abstract Linking Theorem for Cerami sequences in [8] to get a non-trivial
critical point for this functional. Our goal is to make use of spectral
properties of operator A:= - \Delta + V(x) restricted to H^1_{rad}(R^N), the
space of radially symmetric functions in H^1(R^N), for obtaining a linking
geometry structure to the problem and by means of special properties of
radially symmetric functions get the necessary compactness.

26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph