Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence results for a superlinear singular equation of
  Caffarelli-Kohn-Nirenberg type   In this paper, using Mountain Pass Lemma and Linking Argument, we prove the
existence of nontrivial weak solutions for the Dirichlet problem for the
superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the
parameter $\lambda\in (0, \lambda_2)$, $\lambda_2$ is the second positive
eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg
type.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol