Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial regularity of solutions of fully nonlinear uniformly elliptic
  equations   We prove that a viscosity solution of a uniformly elliptic, fully nonlinear
equation is $C^{2,\alpha}$ on the compliment of a closed set of Hausdorff
dimension at most $\epsilon$ less than the dimension. The equation is assumed
to be $C^1$, and the constant $\epsilon > 0$ depends only on the dimension and
the ellipticity constants. The argument combines the $W^{2,\epsilon}$ estimates
of Lin with a result of Savin on the $C^{2,\alpha}$ regularity of viscosity
solutions which are close to quadratic polynomials.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex