2 citations · 3 across the 13 of their papers we have counts for
5 papers · 1 filter
Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form
Minhyun Kim, Marvin Weidner
In this article we prove for the first time the boundary regularity for solutions to nonlocal elliptic equations with Hölder continuous coefficients in divergence form in $C^…
Regularity for the Boltzmann equation conditional to pressure and moment bounds
Xavier Fernández-Real, Xavier Ros-Oton, Marvin Weidner
We prove that solutions to the Boltzmann equation without cut-off satisfying pointwise bounds on some observables (mass, pressure, and suitable moments) enjoy a uniform bound in $L…
Improvement of flatness for nonlocal free boundary problems
Xavier Ros-Oton, Marvin Weidner
In this article we study for the first time the regularity of the free boundary in the one-phase free boundary problem driven by a general nonlocal operator. Our main results estab…
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…
Regularity for nonlocal equations with local Neumann boundary conditions
Xavier Ros-Oton, Marvin Weidner
In this article we establish fine results on the boundary behavior of solutions to nonlocal equations in domains which satisfy local Neumann conditions on the boundary. S…