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.

引用

页码：287 / 304

页数：17

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