7 citations · 43 across the 38 of their papers we have counts for
4 papers · 1 filter
The role of the mean curvature in a Hardy-Sobolev trace inequality
Mouhamed Moustapha Fall, Ignace Aristide Minlend, El Hadji Abdoulaye Thiam
The Hardy-Sobolev trace inequality can be obtained via Harmonic extensions on the half-space of the Stein and Weiss weighted Hardy-Littlewood-Sobolev inequality. In this paper we c…
Entire -harmonic functions are affine
Mouhamed Moustapha Fall
In this paper, we prove that solutions to the equation in , for , are affine. This will allow us to prove uniqueness of the Riesz potential $…
Serrin's over-determined Problem on Riemannian Manifolds
Mouhamed Moustapha Fall, Ignace Aristide Minlend
Let be a compact Riemannian manifold of dimension , . In this paper, we prove that there exists a family of domains $(Ω_\varepsilon)_{\varepsilon\in(0…
Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential
Mouhamed Moustapha Fall, Veronica Felli
This paper is devoted to the study of essential self-adjointness of a relativistic Schrödinger operator with a singular homogeneous potential. From an explicit condition on the coe…