Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and qualitative properties of isoperimetric sets in periodic
  media   We review and extend here some recent results on the existence of minimal
surfaces and isoperimetric sets in non homogeneous and anisotropic periodic
media. We also describe the qualitative properties of the homogenized surface
tension, also known as stable norm (or minimal action) in Weak KAM theory. In
particular we investigate its strict convexity and differentiability
properties.

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph