ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hn(−1)

doi:10.1016/S0252-9602(11)60325-1

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1383-1388.doi: 10.1016/S0252-9602(11)60325-1

ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hⁿ(−1)

黄广月^1,2|李兴校²

1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
2. Department of Mathematics, Henan Normal University, Xinxiang 453007, China

收稿日期:2009-08-13 修回日期:2010-03-29 出版日期:2011-07-20 发布日期:2011-07-20
基金资助:
This research is supported by NSFC (11001076); Project of Henan Provincial department of Sciences and Technology(092300410143); and NSF of Henan Provincial Education Department (2009A110010; 2010A110008).

ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hⁿ(−1)

HUANG Guang-Yue^1,2, LI Xin-Xiao²

1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
2. Department of Mathematics, Henan Normal University, Xinxiang 453007, China

Received:2009-08-13 Revised:2010-03-29 Online:2011-07-20 Published:2011-07-20
Supported by:
This research is supported by NSFC (11001076); Project of Henan Provincial department of Sciences and Technology(092300410143); and NSF of Henan Provincial Education Department (2009A110010; 2010A110008).

摘要/Abstract

摘要：

In this paper, we consider eigenvalues of the Dirichlet biharmonic operator on a bounded domain in a hyperbolic space. We obtain universal bounds on the (k + 1)th eigenvalue in terms of the first kth eigenvalues independent of the domains.

关键词: universal inequality, eigenvalue, hyperbolic space, clamped plate problem

Abstract:

Key words: universal inequality, eigenvalue, hyperbolic space, clamped plate problem

中图分类号:

35P15

黄广月, 李兴校. ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hⁿ(−1)[J]. 数学物理学报(英文版), 2011, 31(4): 1383-1388.

HUANG Guang-Yue, LI Xin-Xiao. ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hⁿ(−1)[J]. Acta mathematica scientia,Series B, 2011, 31(4): 1383-1388.

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ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hⁿ(−1)

ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hⁿ(−1)

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