The role of the mean curvature in a mixed Hardy-Sobolev trace inequality

El Hadji Abdoulaye Thiam

Let $\Omega$ be a smooth bounded domain of ${\mathbb{R}}^{N+1}$ of boundary $\partial \Omega ={\Gamma }_1\cup {\Gamma }_2$ and such that $\partial \Omega \cap {\Gamma }_2$ is a neighborhood of $0$, $h \in \mathcal{C}^0(\p…