The Paneitz Curvature Problem on Lower-Dimensional Spheres

The Paneitz Curvature Problem on Lower-Dimensional Spheres

In this paper we prescribe a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n?{5,6}. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results. [PUBLICATION ABSTRA...

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Veröffentlicht in:Annals of global analysis and geometry 2007-01, Vol.31 (1), p.1-36
Hauptverfasser: Ayed, Mohamed Ben, Mehdi, Khalil El
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Mathematical analysis
Spheres
Studies
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Zusammenfassung:In this paper we prescribe a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n?{5,6}. Using dynamical and topological methods involving the study of critical points at infinity of the associated variational problem, we prove some existence results. [PUBLICATION ABSTRACT]
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-005-9003-7