18 citations · 30 across the 11 of their papers we have counts for
11 papers · 1 filter
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…
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…
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 of annulus shaped domains of which becomes "thin" as goes to zero. We show that, for any given positive constant ,…
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…
Nonexistence of Bounded Energy Solutions for a Fourth Order Equation on Thin Annuli
Mohamed Ben Ayed, Khalil El Mehdi, Mokhless Hammami
In this paper, we studu a biharmonic equation under the Navier boundary condition on thin annuli. We show that when the annulus becomes thin, the equation has no solution whose ene…
On a Paneitz Type Equation in Six Dimensional Domains
Hichem Chtioui, Khalil El Mehdi
In this paper we consider a fourth order equation involving the critical Sobolev exponent on a bounded and smooth domain in . Using theory of critical points at infinity, we…