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

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13 papers · 1 filter

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…

math.AP2020

The role of the mean curvature in a mixed Hardy-Sobolev trace inequality

El Hadji Abdoulaye Thiam

Let $Ω$ be a smooth bounded domain of $R^{N + 1}$ of boundary $\partial Ω = Γ_{1} \cup Γ_{2}$ and such that $\partial Ω \cap Γ_{2}$ is a neighborhood of $0$ , $h \in \mathcal{C}^0(\p…

math.AP2018

Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Ignace Aristide Minlend, Alassane Niang, El Hadji Abdoulaye Thiam

We study hypersurfaces with fractional mean curvature in N-dimensional Euclidean space. These hypersurfaces are critical points of the fractional perimeter under a volume constrain…

math.AP2018

Hardy-Sobolev inequality with higher dimensional singularity

El Hadji Abdoulaye Thiam

For $N \geq 4$ , we let $Ω$ to be a smooth bounded domain of $R^{N}$ , $Γ$ a smooth closed submanifold of $Ω$ of dimension $k$ with $1 \leq k \leq N - 2$ and $h$ a continuous func…

math.AP2017

Hardy-Sobolev inequality with singularity a curve

Mouhamed Moustapha Fall, El hadji Abdoulaye Thiam

We consider a bounded domain $Ω$ of $R^{N}$ , $N \geq 3$ , and $h$ a continuous function on $Ω$ . Let $Γ$ be a closed curve contained in $Ω$ . We study existence of positive solu…

math.AP2015

Weighted Hardy inequality on Riemannian manifolds

El Hadji Abdoulaye Thiam

Let $(M, g)$ be a smooth compact Riemannian manifold of dimension $N \geq 3$ and we let $Σ$ to be a closed submanifold of dimension $1 \leq k \leq N - 2.$ In this paper we study exist…

math.AP2015★ 10 cited

Hardy and Hardy-Sobolev inequalities on Riemannian manifolds

El Hadji Abdoulaye Thiam

Let $(M, g)$ be a smooth compact Riemannian manifold of dimension $N \geq 3$ . Given $p_{0} \in M$ , $λ \in R$ and $σ \in (0, 2]$ , we study existence and non existence of min…

math.AP2014

The role of the mean curvature in a Hardy-Sobolev trace inequality

Mouhamed Moustapha Fall, Ignace Aristide Minlend, El Hadji Abdoulaye Thiam

The Hardy-Sobolev trace inequality can be obtained via Harmonic extensions on the half-space of the Stein and Weiss weighted Hardy-Littlewood-Sobolev inequality. In this paper we c…

A Doubly Critical Elliptic Problem with Submanifold Singularities

A Nonlinear elliptic PDE with curve singularity on the boundary

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

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

Influence of an Lp-perturbation on Hardy-Sobolev inequality with singularity a curve

Nonlocal diffusion of smooth sets

The role of the mean curvature in a mixed Hardy-Sobolev trace inequality

Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Hardy-Sobolev inequality with higher dimensional singularity

Hardy-Sobolev inequality with singularity a curve

Weighted Hardy inequality on Riemannian manifolds

Hardy and Hardy-Sobolev inequalities on Riemannian manifolds

The role of the mean curvature in a Hardy-Sobolev trace inequality

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