The Paneitz Curvature Problem on Lower Dimensional Spheres

Mathematics – Analysis of PDEs

Scientific paper

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34 pages

Scientific paper

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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