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20032026
most citedThe Paneitz Curvature Problem on Lower Dimensional Spheres

18 citations

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math.AP2004

Single Blow up Solutions for a Slightly Subcritical Biharmonic Equation

Khalil El Mehdi

In this paper, we consider a biharmonic equation under the Navier boundary condition and with a nearly critical exponent in and on $\partial…

math.AP2004

Blowing up Solutions for a Biharmonic Equation with Critical Nonlinearity

Khalil El Mehdi, Mokhless Hammami

In this paper we consider the following biharmonic equation with critical exponent : in and on , where is a domai…

math.AP2004

On a Biharmonic Equation Involving Nearly Critical Exponent

Mohamed Ben Ayed, Khalil El Mehdi

This paper is concerned with a biharmonic equation under the Navier boundary condition with nearly critical exponent. We study the asymptotic behavior os solutions which are minimi…

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…