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The first nonzero eigenvalue of Neumann problem on Riemannian manifolds

✍ Scribed by Youyu Xu


Book ID
112939927
Publisher
Springer-Verlag
Year
1995
Tongue
English
Weight
454 KB
Volume
5
Category
Article
ISSN
1050-6926

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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