The Webster scalar curvature revisited: the case of the three dimensional CR sphere

In this paper we consider the problem of prescribing the Webster scalar curvature on the three CR sphere of . We use techniques related to the theory of critical points at infinity, and obtain existence results for curvature satisfying an assumption of Bahri–Coron type.

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 42; no. 1-2; pp. 107 - 136
Main Authors Salem, Eljazi, Gamara, Najoua
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.09.2011
Springer Nature B.V
Subjects
Analysis
Calculus
Calculus of variations
Calculus of Variations and Optimal Control; Optimization
Control
Critical point
Curvature
Infinity
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Partial differential equations
Scalars
Systems Theory
Theoretical
58E05
53C15
57R70
53C21
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Summary:In this paper we consider the problem of prescribing the Webster scalar curvature on the three CR sphere of . We use techniques related to the theory of critical points at infinity, and obtain existence results for curvature satisfying an assumption of Bahri–Coron type.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-010-0382-7