Prescribing Q -curvature on higher dimensional spheres

Khalil El Mehdi[1]

  • [1] Université de Nouakchott Faculté des Sciences et Techniques BP 5026, Nouakchott MAURITANIA

Annales mathématiques Blaise Pascal (2005)

  • Volume: 12, Issue: 2, page 259-295
  • ISSN: 1259-1734

Abstract

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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.

How to cite

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El Mehdi, Khalil. "Prescribing $Q$-curvature on higher dimensional spheres." Annales mathématiques Blaise Pascal 12.2 (2005): 259-295. <http://eudml.org/doc/10520>.

@article{ElMehdi2005,
abstract = {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.},
affiliation = {Université de Nouakchott Faculté des Sciences et Techniques BP 5026, Nouakchott MAURITANIA},
author = {El Mehdi, Khalil},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Variational problems; lack of compactness; $Q$ curvature; critical points at infinity; Q curvature},
language = {eng},
month = {7},
number = {2},
pages = {259-295},
publisher = {Annales mathématiques Blaise Pascal},
title = {Prescribing $Q$-curvature on higher dimensional spheres},
url = {http://eudml.org/doc/10520},
volume = {12},
year = {2005},
}

TY - JOUR
AU - El Mehdi, Khalil
TI - Prescribing $Q$-curvature on higher dimensional spheres
JO - Annales mathématiques Blaise Pascal
DA - 2005/7//
PB - Annales mathématiques Blaise Pascal
VL - 12
IS - 2
SP - 259
EP - 295
AB - 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.
LA - eng
KW - Variational problems; lack of compactness; $Q$ curvature; critical points at infinity; Q curvature
UR - http://eudml.org/doc/10520
ER -

References

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