A perturbation result for the Webster scalar curvature problem on the CR sphere

被引：51
作者：
Malchiodi, A
Uguzzoni, F
机构：
[1] Rutgers State Univ, Dept Math, Hill Ctr, Piscataway, NJ 08854 USA
[2] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2002年 / 81卷 / 10期
关键词：
Webster curvature; perturbation methods; subelliptic equations;
D O I：
10.1016/S0021-7824(01)01249-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of prescribing the Webster scalar curvature on the unit sphere of Cn+1. Using a perturbation method, we obtain existence results for curvatures close to a positive constant and satisfying an assumption of Bahri-Coron type. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
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收藏
页码：983 / 997
页数：15
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