Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Gradient Estimates For Fully Nonlinear Models With
  Non-Homogeneous Degeneracy and Applications   We establish sharp geometric Holder regularity estimates for Gradient for
bounded solutions of a class of fully nonlinear elliptic equations with
non-homogeneous degeneracy. Such regularity estimates simplify and generalize,
to some extent, earlier ones via a totally different modus operandi. Our
approach is based on geometric tangential methods and makes use of a refined
oscillation mechanism combined with compactness and scaling techniques. In the
end, we present some connections of our findings with a variety of nonlinear
geometric free boundary problems and relevant nonlinear problems in the theory
of elliptic PDEs, which may have their own interest. We also deliver explicit
examples where our results are sharp.

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The categories of this paper are: cs
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin