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math.AP2024★ 2 cited
Optimal regularity for nonlocal elliptic equations and free boundary problems
Xavier Ros-Oton, Marvin Weidner
In this article we establish for the first time the boundary regularity of solutions to nonlocal elliptic equations with kernels . This was known to h…
math.AP2023★ 4 cited
Obstacle problems for nonlocal operators with singular kernels
Xavier Ros-Oton, Marvin Weidner
In this paper we establish optimal regularity estimates and smoothness of free boundaries for nonlocal obstacle problems governed by a very general class of integro-differential op…