18 citations · 18 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…