Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two limits on Hardy and Sobolev inequalities   It is known that classical Hardy and Sobolev inequalities hold when the
exponent $p$ and the dimension $N$ satisfy $p < N < \infty$. In this note, we
consider two limits of Hardy and Sobolev inequalities as $p \nearrow N$ and $N
\nearrow \infty$ in some sense.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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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: math-ph
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The categories of this paper are: alg-geom