A Doubly Critical Elliptic Problem with Submanifold Singularities

Abdourahmane Diatta, El Hadji Abdoulaye Thiam

Let $N\ge 4$, $\Omega$ be a bounded domain in ${\mathbb{R}}^N$, and let $\Sigma \subset \Omega$ be a smooth closed submanifold of dimension $k$ with $2\le k\le N-2$. We study the existence of pos…