Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On critical value of the coupling constant in exterior elliptic problems   We consider exterior elliptic problems with coefficients stabilizing at
infinity and study the critical value $\beta_{cr}$ of the coupling constant
(the coefficient at the potential) that separates operators with a discrete
spectrum and those without it. The dependence of $\beta_{cr}$ on the boundary
condition and on the distance between the boundary and the support of the
potential is described. The discrete spectrum of a non-symmetric operator with
the FKW boundary condition (that appears in diffusion processes with traps) is
also investigated.

13
The categories of this paper are: quant-ph
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th