Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $C^{2,\alpha}$ estimates for nonlinear elliptic equations in complex and
  almost complex geometry   We describe how to use the perturbation theory of Caffarelli to prove
Evans-Krylov type $C^{2,\alpha}$ estimates for solutions of nonlinear elliptic
equations in complex geometry, assuming a bound on the Laplacian of the
solution. Our results can be used to replace the various Evans-Krylov type
arguments in the complex geometry literature with a sharper and more unified
approach. In addition, our methods extend to almost-complex manifolds, and we
use this to obtain a new local estimate for an equation of Donaldson.

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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-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
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: stat