Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of multiple solutions for quasi-linear degenerate elliptic
  equations   The present paper is concerned a class of quasi-linear elliptic degenerate
equations. The degenerate operator comes from the analysis of manifolds with
corner singularity. Variational methods are applied to verify the existence of
infinity many solutions for the problems.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics