Estimates for Variation of the First Dirichlet Eigenvalue of the Laplace Operator

V. A. Pchelintsev

doi:10.1007/s10958-022-05761-8

Estimates for Variation of the First Dirichlet Eigenvalue of the Laplace Operator

V. A. Pchelintsev

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We obtain an estimate for variation of the first eigenvalue of the Laplace operator with the Dirichlet boundary condition in a bounded domain. The method is based on the use of superposition operators generated by quasiconformal mappings and their application to weighted Sobolev inequalities.

Original language	English
Pages (from-to)	444-454
Number of pages	11
Journal	Journal of Mathematical Sciences (United States)
Volume	261
Issue number	3
DOIs	https://doi.org/10.1007/s10958-022-05761-8
State	Published - 1 Feb 2022
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-022-05761-8

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abstract = "We obtain an estimate for variation of the first eigenvalue of the Laplace operator with the Dirichlet boundary condition in a bounded domain. The method is based on the use of superposition operators generated by quasiconformal mappings and their application to weighted Sobolev inequalities.",

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AB - We obtain an estimate for variation of the first eigenvalue of the Laplace operator with the Dirichlet boundary condition in a bounded domain. The method is based on the use of superposition operators generated by quasiconformal mappings and their application to weighted Sobolev inequalities.

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JO - Journal of Mathematical Sciences (United States)

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Estimates for Variation of the First Dirichlet Eigenvalue of the Laplace Operator

Abstract

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