The Paneitz Curvature Problem on Lower-Dimensional Spheres |
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| Authors: | Mohamed Ben Ayed Khalil El Mehdi |
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| Institution: | (1) Département de Mathématiques, Faculté des Sciences de Sfax, Route Soukra, Sfax, Tunisia;(2) Faculté des Sciences et Techniques, Université de Nouakchott, BP 5026, Nouakchott, Mauritania |
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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.
Mathematics Subject Classifications (2000): 35J60, 53C21, 58J05, 35J30. |
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| Keywords: | noncompact variational problems Paneitz curvature critical points at infinity |
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