Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A stability result for the Steklov Laplacian Eigenvalue Problem with a
  spherical obstacle   In this paper we study the first Steklov-Laplacian eigenvalue with an
internal fixed spherichal obstacle. We prove that the spherical shell locally
maximizes the first eigenvalue among nearly spherical sets when both the
internal ball and the volume are fixed.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph