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A compactness theorem for scalar-flat metrics on 3-manifolds with boundary.
- Source :
-
Journal of Functional Analysis . Oct2019, Vol. 277 Issue 7, p2092-2116. 25p. - Publication Year :
- 2019
-
Abstract
- Let (M , g) be a compact Riemannian three-dimensional manifold with boundary. We prove the compactness of the set of scalar-flat metrics which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. This involves a blow-up analysis of a Yamabe-type equation with critical Sobolev exponent on the boundary. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERSURFACES
*RIEMANNIAN manifolds
*CRITICAL exponents
Subjects
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 277
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 137891374
- Full Text :
- https://doi.org/10.1016/j.jfa.2019.01.001