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On an inequality between dirichlet and neumann eigenvalues for the laplace operator. / Filonov, N.

In: St. Petersburg Mathematical Journal, Vol. 16, No. 2, 01.01.2005, p. 413-416.

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Filonov, N. / On an inequality between dirichlet and neumann eigenvalues for the laplace operator. In: St. Petersburg Mathematical Journal. 2005 ; Vol. 16, No. 2. pp. 413-416.

BibTeX

@article{c6d19adb947743c9a4279c56e760f26c,
title = "On an inequality between dirichlet and neumann eigenvalues for the laplace operator",
abstract = "A simple proof of the inequality μk+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 ℝd, d 1.",
keywords = "Dirichlet problem, Neumann problem, Spectrum",
author = "N. Filonov",
year = "2005",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-05-00857-5",
language = "русский",
volume = "16",
pages = "413--416",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - On an inequality between dirichlet and neumann eigenvalues for the laplace operator

AU - Filonov, N.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - A simple proof of the inequality μk+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 ℝd, d 1.

AB - A simple proof of the inequality μk+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 ℝd, d 1.

KW - Dirichlet problem

KW - Neumann problem

KW - Spectrum

UR - http://www.scopus.com/inward/record.url?scp=85009737084&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-05-00857-5

DO - 10.1090/S1061-0022-05-00857-5

M3 - статья

AN - SCOPUS:85009737084

VL - 16

SP - 413

EP - 416

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 50940278