ESTIMATES OF EIGENVALUES OF A CLAMPED PROBLEM

被引：0
作者：
Zheng, Tao [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
KODAI MATHEMATICAL JOURNAL | 2015年 / 38卷 / 02期
基金：
中国博士后科学基金;
关键词：
biharmonic operator; eigenvalue; Hermitian metric; complex projective space; hyperbolic space; RIEMANNIAN-MANIFOLDS; PLATE PROBLEM; UNIVERSAL INEQUALITIES; BIHARMONIC OPERATOR; BOUNDS; LAPLACIAN; DOMAINS;
D O I：
10.2996/kmj/1436403889
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, for the eigenvalue problem of a clamped plate problem on complex projective space with holomorphic sectional curvature c(> 0) and n(>= 3)-dimensional noncompact simply connected complete Riemannian manifold with sectional curvature Sec satisfying -a(2) <= Sec <= -b(2), where a >= b >= 0 are constants, we obtain universal eigenvalue inequalities. Moreover, we deduce the estimates of the upper bounds of eigenvalues.
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页码：249 / 269
页数：21
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