Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localized Regularity of Planar Maps of Finite Distortion   In this article we study fine regularity properties for mappings of finite
distortion. Our main theorems yield strongly localized regularity results in
the borderline case in the class of maps of exponentially integrable
distortion. Analogues of such results were known earlier in the case of
quasiconformal mappings. Moreover, we study regularity for maps whose
distortion has higher exponential integrability.

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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an