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ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN H^n(-1) 被引量:3

ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN H^n(-1)
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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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1383-1388,共6页 数学物理学报(B辑英文版)
基金 supported by NSFC (11001076) Project of Henan Provincial department of Sciences and Technology (092300410143) NSF of Henan Provincial Education Department (2009A110010 2010A110008)
关键词 universal inequality EIGENVALUE hyperbolic space clamped plate problem universal inequality eigenvalue hyperbolic space clamped plate problem
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