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The Paneitz Curvature Problem on Lower-Dimensional Spheres

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Abstract

In this paper we prescribe a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n∊{5,6}. 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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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Sfax, Route Soukra, Sfax, Tunisia

    Mohamed Ben Ayed

  2. Faculté des Sciences et Techniques, Université de Nouakchott, BP 5026, Nouakchott, Mauritania

    Khalil El Mehdi

Authors
  1. Mohamed Ben Ayed
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  2. Khalil El Mehdi
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Correspondence to Mohamed Ben Ayed.

Additional information

Mathematics Subject Classifications (2000): 35J60, 53C21, 58J05, 35J30.

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Ayed, M.B., Mehdi, K.E. The Paneitz Curvature Problem on Lower-Dimensional Spheres. Ann Glob Anal Geom 31, 1–36 (2007). https://doi.org/10.1007/s10455-005-9003-7

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  • DOI: https://doi.org/10.1007/s10455-005-9003-7

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