Influence of an $L^p$-perturbation on Hardy-Sobolev inequality with singularity a curve

El Hadji Abdoulaye Thiam, Idowu Esther IJaodoro

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