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math.AP2021★ 1 cited
Influence of an -perturbation on Hardy-Sobolev inequality with singularity a curve
El Hadji Abdoulaye Thiam, Idowu Esther IJaodoro
We consider a bounded domain of , , and continuous functions on . Let be a closed curve contained in . 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 fractional diffusion. We prove that for small time, the normal velocity of such sets is nearly proportional to the me…