Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass splitting in the Thomas-Fermi-Dirac-von Weizs\"acker model with
  background potential   We consider minimization problems of the Thomas-Fermi-Dirac-von
Weizs\"{a}cker (TFDW) type, in which the Newtonian potential is perturbed by a
background potential satisfying mild conditions and which ensures the existence
of minimizers. We describe the structure of minimizing sequences for those
variants, and obtain a more precise characterization of patterns in minimizing
sequences for the TFDW functionals regularized by long-range perturbations.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph