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On an inequality between dirichlet and neumann eigenvalues for the laplace operator. / Filonov, N.
в: St. Petersburg Mathematical Journal, Том 16, № 2, 01.01.2005, стр. 413-416.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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