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
β¦ LIBER β¦
On the first Laplacian eigenvalue and the center of gravity of compact hypersurfaces
β Scribed by A. R. Veeravalli
- Publisher
- European Mathematical Society
- Year
- 2001
- Tongue
- English
- Weight
- 159 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0010-2571
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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