Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the spectrum of a nonlocal Dirichlet problem   In this paper we analyse the spectrum of nonlocal Dirichlet problems with
non-singular kernels in bounded open sets. The novelty is the continuity of
eigenvalues with respect to domain perturbation via Lebesgue measure. Also,
under additional smooth condition on the kernel and domain, we prove
differentiability of simple eigenvalues computing their first derivative.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph