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Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds

✍ Scribed by Changyu Xia, Hongwei Xu


Book ID
120963904
Publisher
Springer
Year
2013
Tongue
English
Weight
182 KB
Volume
45
Category
Article
ISSN
0232-704X

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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