Lower bounds for the first eigenvalue of the p-Laplace operator on compact manifolds with nonnegative Ricci curvature

被引：13

作者：

Zhang, Huichun ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

ADVANCES IN GEOMETRY | 2007年 / 7卷 / 01期

关键词：

D O I：

10.1515/ADVGEOM.2007.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some lower bound estimates for the first eigenvalue of p-Laplace operators on compact Riemannian manifolds with quasi-positive (or nonnegative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue problem with some proper hypothesis.

引用

页码：145 / 155

页数：11

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