On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres

Mathematics – Analysis of PDEs

Scientific paper

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29 pages

Scientific paper

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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