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math.AP2014
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…
math.DG2014
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…