Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations   Building on earlier work, we have given in our paper in Contemporary
Mathematics 535, 195-213, 2011 (referred here as [TS]) a proof of existence of
Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and
have shown that the triangular lattice gives the lowest energy per lattice
cell. After [TS] was published, we realized that it proves a stronger result
than was stated there. This result is recorded in the present paper. The proofs
remain the same as in [TS], apart from some streamlining.

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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th