101 citations
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Showing 2003Show all
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math.AP2003
Existence of Conformal Metrics on Spheres with Prescribed Paneitz Curvature
Mohamed Ben Ayed, Khalil El Mehdi
In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the -sphere, with . Using tools from the theory of criti…
math.AP2003
Some Existence Results for a Paneitz Type Problem Via the Theory of Critical Points at Infinity
Mohamed Ben Ayed, Khalil El Mehdi, Mokhless Hammami
In this paper a fourth order equation involving critical growth is considered under Navier boundary condition. We give some topological conditions on a given function to ensure the…
math.AP2003★ 18 cited
The Paneitz Curvature Problem on Lower Dimensional Spheres
Mohamed Ben Ayed, Khalil El Mehdi
In this paper we prescribe a fourth order conformal invariant 9the Paneitz Curvature) on five and six spheres. Using dynamical and topological methods involving the study of critic…