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On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres

Khalil El Mehdi
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Abstract

We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.

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Khalil El Mehdi. 2004-12-06. On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres. https://arxiv.org/abs/math/0412106

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