Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order elliptic equations with variably partially VMO coefficients   The solvability in $W^{2}_{p}(\bR^{d})$ spaces is proved for second-order
elliptic equations with coefficients which are measurable in one direction and
VMO in the orthogonal directions in each small ball with the direction
depending on the ball. This generalizes to a very large extent the case of
equations with continuous or VMO coefficients.

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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin