Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second variation of domain functionals and applications to problems with
  Robin boundary conditions   In this paper the first and second domain variation for functionals related
to elliptic boundary and eigenvalue problems with Robin boundary conditions is
computed. Minimality and maximality properties of the ball among nearly
circular domains of given volume are derived. The discussion leads to the
investigation of the eigenvalues of a Steklov eigenvalue problem. As a
byproduct a general characterization of the optimal shapes is obtained.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex