𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


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

Stability Results for the First Eigenval
✍ 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