Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Dirichlet-conormal problem with homogeneous and inhomogeneous
  boundary conditions   We consider the mixed Dirichlet-conormal problem on irregular domains in
$\mathbb{R}^d$. Two types of regularity results will be discussed: the
$W^{1,p}$ regularity and a non-tangential maximal function estimate. The domain
is assumed to be Reifenberg-flat, and the interfacial boundary is either
Reifenberg-flat of co-dimension $2$ or is locally sufficiently close to a
Lipschitz function of $m$ variables, where $m=1,\ldots,d-2$. For the
non-tangential maximal function estimate, we also require the domain to be
Lipschitz.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th