Eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on Ricci flat manifolds

被引：7

作者：

Du, Feng ^{[1
,2
]}

Wu, Chuanxi ^{[1
]}

Li, Guanghan ^{[1
]}

Xia, Changyu ^{[1
,3
]}

机构：

[1] Hubei Univ, Sch Math & Stat, Wuhan 430062, Peoples R China

[2] Jingchu Univ Technol, Sch Math & Phys Sci, Jingmen 448000, Peoples R China

[3] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 417卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Eigenvalues; Universal bounds; Ricci flat manifold; Buckling problem; Polyharmonic operator; UNIVERSAL BOUNDS; INEQUALITIES; LAPLACIAN;

D O I：

10.1016/j.jmaa.2014.03.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on bounded domains in Ricci flat manifolds supporting a special function and obtain universal bounds on the (k + 1)th eigenvalue in terms of the first k eigenvalues independent of the domains. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：601 / 621

页数：21

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