Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary regularity for viscosity solutions of fully nonlinear elliptic
  equations   We provide regularity results at the boundary for continuous viscosity
solutions to nonconvex fully nonlinear uniformly elliptic equations and
inequalities in Euclidian domains. We show that (i) any solution of two sided
inequalities with Pucci extremal operators is $C^{1,\alpha}$ on the boundary;
(ii) the solution of the Dirichlet problem for fully nonlinear uniformly
elliptic equations is $C^{2,\alpha}$ on the boundary; (iii) corresponding
asymptotic expansions hold. This is an extension to viscosity solutions of the
classical Krylov estimates for smooth solutions.

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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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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: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc