Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Variations of Neumann Eigenvalues of p-Laplacian Generated by Measure
  Preserving Quasiconformal Mappings   In this paper we study variations of the first non-trivial eigenvalues of the
two-dimensional $p$-Laplace operator, $p>2$, generated by measure preserving
quasiconformal mappings $\varphi : \mathbb D\to\Omega$, $\Omega \subset\mathbb
R^2$. This study is based on the geometric theory of composition operators on
Sobolev spaces with applications to sharp embedding theorems. By using a sharp
version of the reverse H\"older inequality we obtain lower estimates of the
first non-trivial eigenvalues for Ahlfors type domains.

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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int