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Eigenvalues of the equation Au = λBu on a compact manifold without boundary

✍ Scribed by K. Kh. Boimatov; A. G. Kostyuchenko


Publisher
Springer US
Year
1989
Tongue
English
Weight
123 KB
Volume
23
Category
Article
ISSN
0016-2663

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The first eigenvalue of the p-Laplacian
✍ Shigeo Kawai; Nobumitsu Nakauchi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 135 KB

The ÿrst nonlinear eigenvalue of the p-Laplacian (p ¿ 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