Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $C^{1,\alpha}$ estimates for the fully nonlinear Signorini problem   We study the regularity of solutions to the fully nonlinear thin obstacle
problem. We establish local $C^{1,\alpha}$ estimates on each side of the smooth
obstacle, for some small $\alpha > 0$.
  Our results extend those of Milakis-Silvestre in two ways: first, we do not
assume solutions nor operators to be symmetric, and second, our estimates are
local, in the sense that do not rely on the boundary data.
  As a consequence, we prove $C^{1,\alpha}$ regularity even when the problem is
posed in general Lipschitz domains.

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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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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: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: stat