Eigenvalue estimate for a weightedp-Laplacian on compact manifolds with boundary
β Scribed by Lin-Feng Wang; Yue-Ping Zhu
- Book ID
- 113065606
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 129 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0016-2663
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π SIMILAR VOLUMES
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
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