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The first eigenvalue of the p-Laplacian on a compact Riemannian manifold

✍ Scribed by Shigeo Kawai; Nobumitsu Nakauchi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
135 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 which is di erent from the one for the usual Laplacian.

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