Khalil El Mehdi

collaborators

4 papers

math.AP2004

On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres

Khalil El Mehdi

We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of…

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 $(P_{ε}) : Δ^{2} u = u^{9 - ε}, u > 0$ in $Ω$ and $u = Δ u = 0$ on $\partial…

math.AP2004

On a Yamabe Type Problem on Three Dimensional Thin Annulus

Mohamed Ben Ayed, Khalil El Mehdi, Mokhless Hammami +1

We consider a Yamabe type problem on a family $A_{ε}$ of annulus shaped domains of $R^{3}$ which becomes "thin" as $ε$ goes to zero. We show that, for any given positive constant $C$ ,…

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…