Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global estimates of Generalized Non-Newtonian Stokes systems on
  non-smooth domains   We study a generalized Stokes system with Orlicz growth which is nonstandard
in a non-smooth domain. Our purpose is to derive a Calderon-Zygmund type
estimate of the gradient of a solution and the pressure to such a system like
(1.1) under a small BMO non-linearity and a sufficient flatness on the boundary
of the domain. In the process, we overcome not only lack of Lipschitz
regularity for the corresponding limiting problem, but also the fact that the
associated structure depends only on the symmetric part of the gradient for the
desired global estimate, which is new even in the literature of elliptic system
on a nonsmooth domain.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess