On Variations of the Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings

V. A. Pchelintsev

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study variations of the first nontrivial eigenvalue of the two-dimensional p-Laplace operator, p > 2, generated by measure preserving quasiconformal mappings. The study is based on the geometric theory of composition operators in Sobolev spaces and sharp embedding theorems. Using a sharp version of the reverse Hölder inequality, we obtain a lower estimate for the first nontrivial eigenvalue in the case of Ahlfors type domains.

Original languageEnglish
Pages (from-to)503-512
Number of pages10
JournalJournal of Mathematical Sciences
Volume255
Issue number4
DOIs
StatePublished - 1 Jun 2021
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Applied Mathematics

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