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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Published in | Calculus of variations and partial differential equations Vol. 42; no. 1-2; pp. 107 - 136 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer-Verlag
01.09.2011
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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. |
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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 |