Hardy-Sobolev inequality with singularity a curve

Mouhamed Moustapha Fall, El hadji Abdoulaye Thiam

We consider a bounded domain $\Omega$ of ${\mathbb{R}}^N$, $N\ge 3$, and $h$ a continuous function on $\Omega$. Let $\Gamma$ be a closed curve contained in $\Omega$. We study existence of positive solu…