Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functions with constant Laplacian satisfying Robin boundary conditions
  on an ellipse   (Version 3) We study the problem of finding functions, defined within and on
an ellipse, whose Laplacian is -1 and which satisfy a homogeneous Robin
boundary condition on the ellipse. The parameter in the Robin condition is
denoted by beta. The general solution and various asymptotic approximations are
obtained. The integral of the solution over the ellipse, denoted by Q, is a
quantity of interest in some physical applications. The dependence of Q on beta
and the ellipse geometry is found. Several methods are used.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th