Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds

被引：0

作者：

Tan, Shenyang ^{[1
]}

Huang, Tiren ^{[2
]}

Zhang, Wenbin ^{[1
]}

机构：

[1] NUST, Taizhou Inst Sci & Tech, Taizhou 225300, Peoples R China

[2] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷

基金：

中国国家自然科学基金;

关键词：

DRIFTING LAPLACIAN; INEQUALITIES; BOUNDS;

D O I：

10.1155/2015/387953

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the Dirichlet weighted eigenvalue problem of the elliptic operator in divergence form on compact Riemannian manifolds (M, g, e(-phi) dv). We establish a Yang-type inequality of this problem. We also get universal inequalities for eigenvalues of elliptic operators in divergence form on compact domains of complete submanifolds admitting special functions which include the Hadamard manifolds with Ricci curvature bounded below and any complete manifolds admitting eigenmaps to a sphere.

引用

页数：8

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