29 citations · 88 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Gradient Riesz potential estimates for a general class of measure data quasilinear systems
Iwona Chlebicka, Minhyun Kim, Marvin Weidner
We study the gradient regularity of solutions to measure data elliptic systems with Uhlenbeck-type structure and Orlicz growth. For any bounded Borel measure, pointwise estimates f…
Semiconvexity estimates for nonlinear integro-differential equations
Xavier Ros-Oton, Clara Torres-Latorre, Marvin Weidner
In this paper we establish for the first time local semiconvexity estimates for fully nonlinear equations and for obstacle problems driven by integro-differential operators with ge…
The parabolic Harnack inequality for nonlocal equations
Moritz Kassmann, Marvin Weidner
We complete the local regularity program for weak solutions to linear parabolic nonlocal equations with bounded measurable coefficients. Within the variational framework we prove t…