Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The mixed problem for harmonic functions in polyhedra   R. M. Brown's theorem on mixed Dirichlet and Neumann boundary conditions is
extended in two ways for the special case of polyhedral domains. A (1) more
general partition of the boundary into Dirichlet and Neumann sets is used on
(2) manifold boundaries that are not locally given as the graphs of functions.
Examples are constructed to illustrate necessity and other implications of the
geometric hypotheses.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex