UNIVERSAL BOUNDS FOR EIGENVALUES OF A BUCKLING PROBLEM II

被引：13

作者：

Cheng, Qing-Ming ^{[1
]}

Yang, Hongcang ^{[2
]}

机构：

[1] Saga Univ, Grad Sch Sci & Engn, Dept Math, Saga 8408502, Japan

[2] Chinese Acad Sci, Acad Math & Systemat Sci, Beijing 100080, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 11期

关键词：

Universal estimates for eigenvalues; a biharmonic operator and a buckling problem; CLAMPED PLATE PROBLEM; SCHRODINGER-OPERATORS; RIEMANNIAN-MANIFOLDS; BIHARMONIC OPERATOR; INEQUALITIES; LAPLACIAN;

D O I：

10.1090/S0002-9947-2012-05662-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate universal estimates for eigenvalues of a buckling problem. For a bounded domain in a Euclidean space, we give a positive contribution for obtaining a sharp universal inequality for eigenvalues of the buckling problem. For a domain in the unit sphere, we give an important improvement on the results of Wang and Xia.

引用

页码：6139 / 6158

页数：20

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