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New extremal domains for the first eigenvalue of the Laplacian in flat tori

✍ Scribed by Pieralberto Sicbaldi


Publisher
Springer
Year
2009
Tongue
English
Weight
219 KB
Volume
37
Category
Article
ISSN
0944-2669

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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