Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Necessary Conditions for Fractional Hardy-Sobolev's Inequalities   In this short article we obtain some necessary conditions for a so-called
fractional Hardy-Sobolev's inequalities in multidimensional case. We also give
some examples to show the sharpness of these inequalities.

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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio