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Eigenvalue estimate for the rough Laplacian on differential forms

✍ Scribed by Bruno Colbois; Daniel Maerten


Publisher
Springer
Year
2010
Tongue
English
Weight
226 KB
Volume
132
Category
Article
ISSN
0025-2611

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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