Annales Mathématiques
Blaise Pascal
no. 2
Prescribing Q-curvature on higher dimensional spheres
Khalil El Mehdi1
1 Université de Nouakchott Faculté des Sciences et Techniques BP 5026, Nouakchott MAURITANIA
Annales mathématiques Blaise Pascal, Tome 12 (2005) no. 2, pp. 259-295.

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.

DOI : 10.5802/ambp.207
Classification : 35J60, 53C21, 58J05
Mots clés : Variational problems, lack of compactness, $Q$ curvature, critical points at infinity

Khalil El Mehdi 1

1 Université de Nouakchott Faculté des Sciences et Techniques BP 5026, Nouakchott MAURITANIA 
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Khalil El Mehdi. Prescribing $Q$-curvature on higher dimensional spheres. Annales mathématiques Blaise Pascal, Tome 12 (2005) no. 2, pp. 259-295. doi : 10.5802/ambp.207. https://ambp.centre-mersenne.org/articles/10.5802/ambp.207/

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