Skip to Main content Skip to Navigation

Extremal domains for the first eigenvalue of the Laplace-Beltrami operator

Abstract : We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold. These domains are close to geodesic spheres of small radius centered at a nondegenerate critical point of the scalar curvature.
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01266405
Contributor : Pieralberto Sicbaldi <>
Submitted on : Wednesday, February 3, 2016 - 2:19:00 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
Document(s) archivé(s) le : Saturday, November 12, 2016 - 2:40:12 AM

File

Extremal-domains-for-Lambda-1-...
Files produced by the author(s)

Identifiers

Citation

Frank Pacard, Pieralberto Sicbaldi. Extremal domains for the first eigenvalue of the Laplace-Beltrami operator. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2009, ⟨10.5802/aif.2438⟩. ⟨hal-01266405⟩

Share

Metrics

Record views

198

Files downloads

395