3 papers
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 of annulus shaped domains of which becomes "thin" as goes to zero. We show that, for any given positive constant ,…
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
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…