Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains
✍ Scribed by Jorge San Martín; Loredana Smaranda
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 408 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0044-2275
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📜 SIMILAR VOLUMES
## Abstract For certain unbounded domains the Laplace operator with Dirichlet condition is shown to have an unbounded sequence of eigenvalues which are embedded into the essential spectrum. A typical example of such a domain is a locally perturbed cylinder with circular cross‐section whose diameter
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 λ close to λ, the first eigenvalue of the ball B o