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math.AP2023
A comparison method for the fractional Laplacian and applications
Alireza Ataei, Alireza Tavakoli
We study the boundary behavior of solutions to fractional elliptic equations. As the first result, the isolation of the first eigenvalue of the fractional Lane-Emden equation is pr…
math.AP2023★ 1 cited
A perturbative approach to Hölder continuity of solutions to a nonlocal -parabolic equation
Alireza Tavakoli
We study local boundedness and Hölder continuity of a parabolic equation involving the fractional -Laplacian of order , with , , with a general right…