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.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…
math.AP2003
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…