On an inequality between dirichlet and neumann eigenvalues for the laplace operator

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Faculty of Mathemathics and Computer Sciences

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Cite this

DOI

https://doi.org/10.1090/S1061-0022-05-00857-5
Final published version

N. Filonov

A simple proof of the inequality μ_k+1 λk is given. Here the λk (respectively, μk) are the eigenvalues of the Dirichlet (respectively, Neumann) problem for the Laplace operator in an arbitrary domain of finite measure in ℝ^d, d 1.

Original language	Russian
Pages (from-to)	413-416
Number of pages	4
Journal	St. Petersburg Mathematical Journal
Volume	16
Issue number	2
DOIs	https://doi.org/10.1090/S1061-0022-05-00857-5
State	Published - 1 Jan 2005

Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

Research areas

Dirichlet problem, Neumann problem, Spectrum

ID: 50940278