E. Thiam

activity

20142026

most citedHardy and Hardy-Sobolev inequalities on Riemannian manifolds

10 citations · 12 across the 8 of their papers we have counts for

collaborators

13 papers

math.AP2026

A Doubly Critical Elliptic Problem with Submanifold Singularities

Abdourahmane Diatta, El Hadji Abdoulaye Thiam

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

math.AP2025

A Nonlinear elliptic PDE with curve singularity on the boundary

Mamadou Ciss, Abdourahmane Diatta, El Hadji Abdoulaye Thiam

Let $Ω$ be a bounded domain of $R^{N + 1}$ ( $N \geq 3$ ) with smooth boundary $\partial Ω$ and $Σ$ be a closed submanifold contained on $\partial Ω$ and containing $0$ . We ar…

math.AP2023

Mass effect on an elliptic PDE involving two Hardy-Sobolev critical exponents

El Hadji Abdoulaye Thiam

We let $Ω$ be a bounded domain of $R^{3}$ and $Γ$ be a closed curve contained in $Ω$ . We study existence of positive solutions $u \in H_{0}^{1} (Ω)$ to the equation $$…

math.AP2023★ 1 cited

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 $Ω$ be a bounded domain of $R^{N}$ and $Γ$ be a closed curve contained in $Ω$ . We study existence of positive solutions $u \in H_{0}^{1} (Ω)$ to…

math.AP2021★ 1 cited

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 $Ω$ of $R^{N}$ , $N \geq 3$ , $h$ and $b$ continuous functions on $Ω$ . Let $Γ$ be a closed curve contained in $Ω$ . We study existence of positive sol…

math.AP2021

Nonlocal diffusion of smooth sets

Anoumou Attiogbe, El Hadji Abdoulaye Thiam, Mouhamed Moustapha Fall

We consider normal velocity of smooth sets evolving by the $s -$ fractional diffusion. We prove that for small time, the normal velocity of such sets is nearly proportional to the me…