On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
β Scribed by Robert C. Reilly
- Book ID
- 112783507
- Publisher
- European Mathematical Society
- Year
- 1977
- Tongue
- English
- Weight
- 426 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0010-2571
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π SIMILAR VOLUMES
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
We studied the two known works on stability for isoperimetric inequalities of the first eigenvalue of the Laplacian. The earliest work is due to A. Melas who proved the stability of the Faber-Krahn inequality: for a convex domain contained in n with Ξ» close to Ξ», the first eigenvalue of the ball B o