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Eigenvalue inequalities for the p-Laplacian on a Riemannian manifold and estimates for the heat kernel

✍ Scribed by Mao, Jing


Book ID
120459868
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
355 KB
Volume
101
Category
Article
ISSN
0021-7824

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The first eigenvalue of the p-Laplacian
✍ 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