Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic
  Equations   We show that a certain class of fully nonlinear nonlocal equations have
smooth solutions as long as the right-hand side is nice and the boundary datum
is bounded. To this end we follow the classical strategy. We first show that
solutions are $C^{\sigma+\alpha}$ continuous, then develop a bootstrap argument
robust enough for operators that may depend on the solution and its
\sigma-derivatives.

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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an