Mohamed Ben Ayed

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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…

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…