Capacite et inegalite de Faber-Krahn dans l'espace euclidien
| dc.creator | Bertrand, Jerome | |
| dc.creator | Colbois, Bruno | |
| dc.date | 2005-04-08 | |
| dc.date.accessioned | 2026-07-07T05:18:55Z | |
| dc.date.available | 2026-07-07T05:18:55Z | |
| dc.description | In this paper, we define a new capacity which allows us to control the behaviour of the Dirichlet spectrum of a compact Riemannian manifold with boundary, with "small" subsets (which may intersect the boundary) removed. This result generalizes a classical result of Rauch and Taylor ("the crushed ice theorem"). In the second part, we show that the Dirichlet spectrum of a sequence of bounded Euclidean domains converges to the spectrum of a ball with the same volume, if the first eigenvalue of these domains converges to the first eigenvalue of a ball. | |
| dc.identifier | https://arxiv.org/abs/math/0504170 | |
| dc.identifier | http://arxiv.org/abs/math/0504170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74832 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.title | Capacite et inegalite de Faber-Krahn dans l'espace euclidien | |
| dc.type | text |