Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On growth monotonicity estimates of the principal Dirichlet-Laplacian
  eigenvalue   In the present paper we obtain growth monotonicity estimates of the principal
Dirichlet-Laplacian eigenvalue in bounded non-Lipschitz domains. The proposed
method is based on composition operators generated by quasiconformal mappings
and their applications to weighted Sobolev inequalities.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an