Influence of the curvature in the existence of solutions for a two Hardy-Sobolev critical exponents

El Hadji Abdoulaye Thiam, Abdourahmane Diatta

For $N\ge 4$, we let $\hat{I}\text{c◯}$ be a bounded domain of ${\mathbb{R}}^N$ and $\hat{I}“$ be a closed curve contained in $\hat{I}\text{c◯}$. We study existence of positive solutions $u\in H_0^1\left(\hat{I}\text{c◯}\right)$…