Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Borderline regularity for fully nonlinear equations in Dini domains   In this paper, we prove borderline gradient continuity of viscosity solutions
to Fully nonlinear elliptic equations at the boundary of a
$C^{1,\dini}$-domain. Our main result Theorem 3.1 is a sharpening of the
boundary gradient estimate proved by Ma-Wang following the borderline interior
gradient regularity estimates established Daskalopoulos-Kuusi-Mingione. We
however mention that, differently from the approach in the interior case which
depends on $W^{1,q}$ estimates, our proof is slightly more geometric and is
based on compactness arguments inspired by the techniques in the fundamental
works of Caffarelli.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int