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Eigenvalue estimate on a compact Riemann manifold

✍ Scribed by Di Zhao


Book ID
105640331
Publisher
SP Science China Press
Year
1999
Tongue
English
Weight
364 KB
Volume
42
Category
Article
ISSN
1674-7283

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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