%0 Journal Article
%T New examples of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in a Riemannian manifold with boundary
%+ CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
%+ Institut de Mathématiques de Marseille (I2M)
%A Lamboley, Jimmy
%A Sicbaldi, Pieralberto
%< avec comité de lecture
%@ 1073-7928
%J International Mathematics Research Notices
%I Oxford University Press (OUP)
%V 2015
%P 8752-8798
%8 2014-11-19
%D 2014
%R 10.1093/imrn/rnu211
%Z Mathematics [math]/Optimization and Control [math.OC]
%Z Mathematics [math]/Differential Geometry [math.DG]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01074375/document
%2 https://hal.science/hal-01074375/file/Lamboley-Sicbaldi1.pdf
%L hal-01074375
%U https://hal.science/hal-01074375
%~ CNRS
%~ UNIV-AMU
%~ UNIV-DAUPHINE
%~ EC-MARSEILLE
%~ CEREMADE
%~ I2M
%~ I2M-2014-
%~ TDS-MACS
%~ PSL
%~ UNIV-DAUPHINE-PSL
%~ ANR