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Annales de l Institut Henri Poincaré C Analyse non linéaire
Article . 2007 . Peer-reviewed
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Annales de l Institut Henri Poincaré C Analyse non linéaire
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Prescribing scalar curvature on \( S^{3} \)

Prescribing scalar curvature on \(S^{3}\)
descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2007Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, volume 24, pages 563-587 (issn: 0294-1449, eissn: 1873-1430, Copyright policy )
Authors: Schneider, Matthias;

doi: 10.1016/j.anihpc.2006.03.004

Prescribing scalar curvature on \( S^{3} \)

Abstract

We give existence results for solutions of the prescribed scalar curvature equation on S^{3} , when the curvature function is a positive Morse function and satisfies an index-count condition. Résumé Nous démontrons l'existence de solutions de l'équation courbure scalaire sur S^{3} , quand la courbure scalaire est une fonction de Morse positive satisfaisant à une condition d'indice.

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Keywords

Variational methods for second-order elliptic equations, Leray-Schauder degree, prescribed scalar curvature, Nonlinear elliptic equations, finite dimensional reduction

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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!
5
Average
Average
Average
gold