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The Paneitz Curvature Problem on Lower Dimensional Spheres

Mohamed Ben Ayed·Khalil El Mehdi
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Abstract

In this paper we prescribe a fourth order conformal invariant 9the Paneitz Curvature) on five and six spheres. 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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Mohamed Ben Ayed, Khalil El Mehdi. 2004-04-07. The Paneitz Curvature Problem on Lower Dimensional Spheres. https://arxiv.org/abs/math/0305197

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