Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized elliptic functions and their application to a nonlinear
  eigenvalue problem with $p$-Laplacian   The Jacobian elliptic functions are generalized and applied to a nonlinear
eigenvalue problem with $p$-Laplacian. The eigenvalue and the corresponding
eigenfunction are represented in terms of common parameters, and a complete
description of the spectra and a closed form representation of the
corresponding eigenfunctions are obtained. As a by-product of the
representation, it turns out that a kind of solution is also a solution of
another eigenvalue problem with $p/2$-Laplacian.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio