The first eigenvalue of the p-Laplacian on a compact Riemannian manifold

被引：17

作者：

Kawai, S ^{[1
]}

Nakauchi, N

机构：

[1] Yamaguchi Univ, Dept Math, Yamaguchi 7538512, Japan

[2] Saga Univ, Fac Culture & Educ, Dept Math, Saga 8408502, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 1-2期

关键词：

D O I：

10.1016/S0362-546X(03)00209-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first nonlinear eigenvalue of the p-Laplacian (p greater than or equal to 2) is investigated for a compact manifold of nonnegative Ricci curvature with or without boundary. Lower bound estimates are given by the diameter or the inscribed radius. The key ingredients in proofs are the formula of Bochner-Weitzonbeck type which is different from the one for the usual Laplacian. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：33 / 46

页数：14

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