Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large volume minimizers of a non local isoperimetric problem:
  theoretical and numerical approaches   We consider the volume-constrained minimization of the sum of the perimeter
and the Riesz potential. We add an external potential of the form
$\|x\|^{\beta}$ that provides the existence of a minimizer for any volume
constraint, and we study the geometry of big minimizers. Then we provide a
numerical method to adress this variational problem.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga