1 citations · 1 across the 4 of their papers we have counts for
9 papers
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 ,…
Prescribing scalar and boundary mean curvature on the three dimensional sphere
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou
We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half three sphere, by deforming conformally its standard metric. Using b…
A Riemannian mapping type Theorem in higher dimensions, Part I: the conformally flat case with umbilic boundary
Mohameden Ould Ahmedou
In this paper we prove that every Riemannian metric on a locally conformally flat manifold with umbilic boundary can be conformally deformed to a scalar flat metric having constant…
Prescribing the scalar curvature under minimal boundary conditions on the half sphere
Mohamed Ben Ayed, Khalil El Mehdi, Mohameden Ould Ahmedou
This paper is devoted to the problem of prescribing the scalar curvature under zero boundary conditions. Using dynamical and topological methods involving the study of critical poi…
On a nonlinear fourth order elliptic equation involving the Sobolev critical exponent
Francois Ebobisse, Mohameden Ould Ahmedou
In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain influences the existence of positive solutions of some fourth o…
On a geometric equation with critical nonlinearity on the boundary
Veronica Felli, Mohameden Ould Ahmedou
A theorem of Escobar asserts that, on a positive three dimensional smooth compact Riemannian manifold with boundary which is not conformally equivalent to the standard three dimens…