Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal boundedness of a variational functional in point vortex mean
  field theory associated with probability measures   We study a variational functional of Trudinger-Moser type associated with
one-sided Borel probability measure. Its boundedness at the extremal parameter
holds when the residual vanishing occurs. In the proof we use a variant of the
Y.Y. Li estimate.

9
The categories of this paper are: nlin
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol