Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity and well posedness for the Laplace operator on polyhedral
  domains   We announce a well-posedness result for the Laplace equation in weighted
Sobolev spaces on polyhedral domains in $\RR^n$ with Dirichlet boundary
conditions. The weight is the distance to the set of singular boundary points.
We give a detailed sketch of the proof in three dimensions.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
17
The categories of this paper are: q-fin