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

被引：0

作者：

Huang Guangyue ^{[1
,2
]}

Li Xingxiao ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 04期

关键词：

universal inequality; eigenvalue; hyperbolic space; clamped plate problem; UNIVERSAL BOUNDS; RIEMANNIAN-MANIFOLDS; INEQUALITIES; LAPLACIAN; ORDER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1383 / 1388

页数：6

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