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Compactness of solutions to the Yamabe problem. II

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2005Embargo end date: 01 Jan 2004 United States English Publisher:Springer Science and Business Media LLCJournal:Calculus of Variations and Partial Differential Equations, volume 24, pages 185-237 (issn: 0944-2669, eissn: 1432-0835, Copyright policy )
Authors: Department of Mathematics, Rutgers University Frelinghuysen Road, Piscataway, NJ 08854, USA ( host institution ); Li, YanYan; Zhang, Lei;

doi: 10.1007/s00526-004-0320-7 , 10.1016/j.jfa.2006.11.010 , 10.48550/arxiv.math/0411032 , 10.48550/arxiv.math/0612297

arXiv: math/0612297 , math/0411032

Compactness of solutions to the Yamabe problem. II

Abstract

We study compactness of solutions to the Yamabe problem on Riemannian manifolds which are not locally conformally flat.

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United States
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Keywords

Mathematics - Differential Geometry, Elliptic equations on manifolds, general theory, Compactness of solutions, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Yamabe problem, Nonlinear elliptic equations, 35J60; 58J05, 35J60, 58J05, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), FOS: Mathematics, compactness of solutions, 35J60, 58J05, Analysis, Analysis of PDEs (math.AP)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 70
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
70
Top 10%
Top 10%
Top 10%
Green
hybrid