Prescribing Q-curvature on higher dimensional spheres
El Mehdi, Khalil
Annales mathématiques Blaise Pascal, Tome 12 (2005), p. 259-295 / Harvested from Numdam
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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.

Publié le : 2005-01-01
DOI : https://doi.org/10.5802/ambp.207
Classification:  35J60,  53C21,  58J05 
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     author = {El Mehdi, Khalil},
     title = {Prescribing $Q$-curvature on higher dimensional spheres},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {12},
     year = {2005},
     pages = {259-295},
     doi = {10.5802/ambp.207},
     zbl = {05016092},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2005__12_2_259_0}
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El Mehdi, Khalil. Prescribing $Q$-curvature on higher dimensional spheres. Annales mathématiques Blaise Pascal, Tome 12 (2005) pp. 259-295. doi : 10.5802/ambp.207. http://gdmltest.u-ga.fr/item/AMBP_2005__12_2_259_0/

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