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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…