Symmetry Results for Positive Solutions of Some Elliptic Equations on Manifolds

被引：0
|
作者：
Luís Almeida
Yuxin Ge
机构：
[1] CNRS UMR-8536,Centre de Mathématiques et de Leurs Applications
[2] Ecole Normale Supérieure de Cachan,Centre de Mathématiques et de Leurs Applications
[3] CNRS UMR-8536,Département de Mathématiques
[4] Ecole Normale Supérieure de Cachan,undefined
[5] Université Paris XII-Val de Marne,undefined
来源：
Annals of Global Analysis and Geometry | 2000年 / 18卷
关键词：
comparison principles; isometries; manifolds; monotonicity; moving planes method; positive solutions of elliptic PDE; sliding method; symmetry;
D O I：
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中图分类号：
学科分类号：
摘要：
We adapt the method of moving planes in order to obtainsymmetry results for positive solutions of some elliptic equations onmanifolds, in the case where our problem satisfies certain symmetryhypothesis. We also obtain monotonicity results using the slidingmethod.
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页码：153 / 170
页数：17
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