𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifolds

✍ Scribed by He, Yue

Book ID
123477391
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
433 KB
Volume
71
Category
Article
ISSN
0393-0440

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The first eigenvalue of the p-Laplacian
The first eigenvalue of the p-Laplacian on a compact Riemannian manifold
✍ Shigeo Kawai; Nobumitsu Nakauchi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 135 KB

The ΓΏrst nonlinear eigenvalue of the p-Laplacian (p ΒΏ 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-Weitz onbeck type

Lower bounds for the first eigenvalue of
Lower bounds for the first eigenvalue of the -Laplacian on compact manifolds with positive Ricci curvature
✍ HuiChun Zhang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 203 KB

We give some lower bounds for the first eigenvalue of the p-Laplace operator on compact Riemannian manifolds with positive (or non-negative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue with some proper geometric hyp

Bounds for Eigenfunctions of the Laplaci
Bounds for Eigenfunctions of the Laplacian on Compact Riemannian Manifolds
✍ Harold Donnelly πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 188 KB

Suppose that f is an eigenfunction of -D with eigenvalue l ] 0. It is proved that where n is the dimension of M and c 1 depends only upon a bound for the absolute value of the sectional curvature of M and a lower bound for the injectivity radius of M. It is then shown that if M admits an isometric