The lower bounds of the first eigenvalues for the biharmonic operator on manifolds

被引：4

作者：

Zhang, Liuwei ^{[1
,2
]}

Zhao, Yan ^{[3
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China

[3] Dalian Univ Technol, Dept Math, Dalian 116024, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

基金：

美国国家科学基金会;

关键词：

biharmonic operator; buckling problem; clamped plate problem; eigenvalues; lower bounds; UNIVERSAL BOUNDS;

D O I：

10.1186/s13660-015-0948-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds.

引用

页码：1 / 9

页数：9

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