Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry of local minimizers for the three dimensional Ginzburg-Landau
  functional   We classify nonconstant entire local minimizers of the standard
Ginzburg-Landau functional for maps in $H^{1}_{loc}(R^3;R^3)$ satisfying a
natural energy bound. Up to translations and rotations, such solutions of the
Ginzburg-Landau system are given by an explicit solution equivariant under the
action of the orthogonal group.

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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas