Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds

被引：0
|
作者：
Olivier Druet
Emmanuel Hebey
机构：
[1] Ecole normale supérieure de Lyon,Département de Mathématiques
[2] Université de Cergy-Pontoise,UMPA
来源：
Mathematische Zeitschrift | 2009年 / 263卷
关键词：
Harnack Inequality; Compact Riemannian Manifold; Positive Scalar Curvature; Constant Mean Curvature; Smooth Positive Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate stability issues for Einstein-scalar field Lichnerowicz equations in the inhomogeneous context of a compact Riemannian manifold. We prove that stability holds true when the dimension n is such that n ≤ 5 and fails to hold in general when n ≥ 6.
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页码：33 / 67
页数：34
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