Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

J. Lamboley - P. Sicbaldi

New examples of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in a Riemannian manifold with boundary

created by lamboley on 06 Jun 2016

[BibTeX]

Published Paper

Inserted: 6 jun 2016
Last Updated: 6 jun 2016

Journal: International Mathematics Research Notices, IMRN
Volume: 18
Pages: 8752-8798
Year: 2015

Abstract:

We build new examples of extremal domains with small prescribed volume for the first eigenvalue of the Laplace-Beltrami operator in some Riemannian manifolds with boundary. These domains are close to half balls of small radius centered at a nondegenerate critical point of the mean curvature function of the boundary of the manifold, and their boundary intersects the boundary of the manifold orthogonally.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1