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The Paneitz curvature problem on lower-dimensional spheres
Journal article   Peer reviewed

The Paneitz curvature problem on lower-dimensional spheres

Mohamed Ben Ayed and Khalil El Mehdi
Annals of global analysis and geometry, Vol.31(1), pp.1-36
01/01/2007
DOI: https://doi.org/10.1007/s10455-005-9003-7

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we prescribe a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n is an element of{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.

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