E. Thiam

activity

20172021

L^{p}

-perturbation on Hardy-Sobolev inequality with singularity a curve

1 citations · 1 across the 2 of their papers we have counts for

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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…