Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of the second eigenvalue of the $p$-Laplace operator in
  symmetric domains   A new idea to approximate the second eigenfunction and the second eigenvalue
of $p$-Laplace operator is given. In the case of the Dirichlet boundary
condition, the scheme has the restriction that the positive and the negative
part of the second eigenfunction have equal $L^p$-norm, however, in the case of
Neumann boundary condition, our algorithm has not such restriction. Our
algorithm generates a descending sequence of positive numbers that converges to
the second eigenvalue. We give various examples and computational tests.

5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs