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

作　　者：黄广月 李兴校 

机构地区：[1]Department of Mathematical Sciences, Tsinghua University [2]Department of Mathematics, Henan Normal University

出　　处：《Acta Mathematica Scientia》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)

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.

关 键 词：universal inequality EIGENVALUE hyperbolic space clamped plate problem 

分 类 号：O177[理学—数学]