Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of solutions of the isoperimetric problem that are close to a
  smooth manifold   In this work we consider a question in the calculus of variations motivated
by riemannian geometry, the isoperimetric problem. We show that solutions to
the isoperimetric problem, close in the flat norm to a smooth submanifold, are
themselves smooth and $C^{2,\alpha}$-close to the given sub manifold. We show
also a version with variable metric on the manifold. The techniques used are,
among other, the standards outils of linear elliptic analysis and comparison
theorems of riemannian geometry, Allard's regularity theorem for minimizing
varifolds, the isometric immersion theorem of Nash and a parametric version due
to Gromov.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci