Persistence of invariant manifolds for perturbations of semiflows with symmetry.
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Prescribing -curvature on higher dimensional spheres
Khalil El Mehdi (2005)
Annales mathématiques Blaise Pascal
We study the problem of prescribing a fourth order conformal invariant 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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