Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space

被引：0
|
作者：
Julien Roth
Julian Scheuer
机构：
[1] UPEM-UPEC,Laboratoire d’Analyse et de Mathématiques Appliquées
[2] CNRS,undefined
[3] Albert-Ludwigs-Universität,undefined
[4] Mathematisches Institut,undefined
来源：
Annals of Global Analysis and Geometry | 2017年 / 51卷
关键词：
Reilly-type inequality; Eigenvalue pinching; Stable hypersurfaces; Almost-Einstein estimates; 35P15; 53C20; 53C24; 53C42; 58C40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove stability results associated with upper bounds for the first eigenvalue of certain second order differential operators of divergence-type on hypersurfaces of the Euclidean space. We deduce some applications to r-stability as well as to almost-Einstein hypersurfaces.
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页码：287 / 304
页数：17
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