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A note on the first nonzero eigenvalue of the laplacian acting on P-forms

✍ Scribed by Bruno Colbois; Gilles Courtois

Book ID
110558953
Publisher
Springer
Year
1990
Tongue
English
Weight
617 KB
Volume
68
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

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

Stability Results for the First Eigenval
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✍ AndrΓ©s I Ávila πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 125 KB

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