Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational problems on product spaces Different obstacle constraints   We study two principle minimizing problems, subject of different constraints.
Our open sets are assumed bounded, except mentioning otherwise;precisely
$\Omega=]0,1[^n \in {\mathbb{R}}^n , n=1 $ or $n=2$.

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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph