Abdourahmane Diatta

activity

20242026

collaborators

3 papers

math.AP2026

A Doubly Critical Elliptic Problem with Submanifold Singularities

Abdourahmane Diatta, El Hadji Abdoulaye Thiam

Let $N \geq 4$ , $I^c ◯$ be a bounded domain in $R^{N}$ , and let $I^£ \subset I^c ◯$ be a smooth closed submanifold of dimension $k$ with $2 \leq k \leq N - 2$ . We study the existence of…

math.AP2025

A Nonlinear elliptic PDE with curve singularity on the boundary

Mamadou Ciss, Abdourahmane Diatta, El Hadji Abdoulaye Thiam

Let $I^c ◯$ be a bounded domain of $R^{N + 1}$ ( $N \geq 3$ ) with smooth boundary $\partial I^c ◯$ and $I^£$ be a closed submanifold contained on $\partial I^c ◯$ and containing $0$ . W…

math.AP2024

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

El Hadji Abdoulaye Thiam, Abdourahmane Diatta

For $N \geq 4$ , we let $I^c ◯$ be a bounded domain of $R^{N}$ and $I^$ be a closed curve contained in $I^c ◯$ . We study existence of positive solutions $u \in H_{0}^{1} (I^c ◯)$ …