Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit solutions of Jensen's auxiliary equations via extremal
  Lipschitz extensions   In this note we prove that McShane and Whitney's Lipschitz extensions are
viscosity solutions of Jensen's auxiliary equations, known to have a key role
in Jensen's celebrated proof of uniqueness of infinity harmonic functions, and
therefore of Absolutely Minimizing Lipschitz Extensions. To the best of the
author's knowledge, this result does not appear to be known in the literature
in spite of the vast amount of work around the topic.

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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: atom-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: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th