7 citations · 43 across the 38 of their papers we have counts for
5 papers · 2 filters
A Hopf lemma for the regional fractional Laplacian
Nicola Abatangelo, Mouhamed Moustapha Fall, Remi Yvant Temgoua
We provide a Hopf boundary lemma for the regional fractional Laplacian , with a bounded open set. More precisely, given a pointwise or weak sup…
Existence results for nonlocal problems governed by the regional fractional Laplacian
Mouhamed Moustapha Fall, Remi Yvant Temgoua
The aim of the present paper is to study existence results of minimizers of the critical fractional Sobolev constant on bounded domains. Under some values of the fractional paramet…
Calderon-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient
Mouhamed Moustapha Fall, Tadele Mengesha, Armin Schikorra +1
Given , and , we establish interior Calderon-Zygmund estimates for solutions of nonlocal equations of the form \[ \int_Ω \int_…
Global Schauder theory for minimizers of the energy
Mouhamed Moustapha Fall, Xavier Ros-Oton
We study the regularity of minimizers of the functional . This corresponds to understanding solutions for the regional fractional Laplacia…
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…