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Eigenvalue Estimates of Biharmonic Operate on Unit Disk and Multi Cylinder(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年04期
Page:
46-51
Research Field:
数学
Publishing date:

Info

Title:
Eigenvalue Estimates of Biharmonic Operate on Unit Disk and Multi Cylinder
Author(s):
Cai Min; Yang Hongcang; Wu Weili
College of Mathematics and Physical Sciences,Xuzhou Institute of Technology,Xuzhou 221008,China
Keywords:
e igenva lue;  inequality;  b iharmon ic;  un it d isk;  m ulti cy linde r
PACS:
O186.16
DOI:
-
Abstract:
The C lam ped prob lem or the problem aboutD ir ichlet b iharm onic opera to r on un it d isk 1 andm ulti cy linder n are studied. Tw o e igenva lue inequa lities o f D irich le te b iharm on ic operator 2 on un it disk 1 and m ulti cy linder n are ob tained.

References:

[ 1] Payne L E, Po lya G, W einbergerH F. On the ra tion o f consecutiv e eigenva lue[ J]. M a th and Ph is, 1956, 35: 289-298.
[ 2] H ile G N, R Z Y. Inequa lities for e igenva les of the b iha rmon ic opera to r[ J] . Pac JM ath, 1984, 112( 1): 115-133.
[ 3] H ook SM. Dom a in independent upper bounds for e igenva lues of e lliptic ope rato r[ J] . Trans Am er M ath Soc, 1990, 318:615-642.
[ 4] Chen Z, Q ian C L. Estima tes fo r d iscretes spectrurn o f Lap lay tion operator w ith any order[ J]. China Un iv Sc i Tech, 1990,20: 256-262.
[ 5] Cheng Q ingm ing, Yang H ongcang. Inequa lities for e igenva lues of a clam ped p la te prob lem [ J]. T ra ins Am erM ath So c, 2006,358( 6): 2 625-2 635.

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Last Update: 2013-04-23