The Neumann problem for the fractional Laplacian: optimal regularity via the Mellin transform,
Serena Dipierro, Xavier Ros-Oton, Enrico Valdinoci, Marvin Weidner,
preprint arXiv (2025).
Higher regularity in nonlocal free boundary problems,
Begoña Barrios, Xavier Ros-Oton, Marvin Weidner,
preprint arXiv (2025).
Optimal regularity for kinetic Fokker-Planck equations in domains,
Xavier Ros-Oton, Marvin Weidner,
preprint arXiv (2025).
Nonnegative solutions to nonlocal parabolic equations,
Naian Liao, Marvin Weidner,
Trans. Amer. Math. Soc. (2026), to appear.
Extinction rates for nonradial solutions to the Stefan problem,
G. Fioravanti, Xavier Ros-Oton, C. Torres-Latorre,
Trans. Amer. Math. Soc. (2025), to appear.
Time-insensitive nonlocal parabolic Harnack estimates,
Naian Liao, Marvin Weidner,
Proc. Lond. Math. Soc. 130 (2025), e70051.
Positive solutions to general semilinear overdetermined boundary problems,
Alberto Enciso, Pablo Hidalgo-Palencia, Xavier Ros-Oton,
preprint arXiv (2024).
Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form,
Minhyun Kim, Marvin Weidner,
J. Eur. Math. Soc. (2026), to appear.
Regularity for the Boltzmann equation conditional to pressure and moment bounds,
Xavier Fernandez-Real, Xavier Ros-Oton, Marvin Weidner,
Comm. Math. Phys. 406 (2025), 175.
C^\infty regularity in semilinear free boundary problems,
Daniel Restrepo, Xavier Ros-Oton,
Math. Ann. 392 (2025), 3397-3446.
L^p estimates for the Laplacian via blow-up,
Jan Lewenstein-Sanpera, Xavier Ros-Oton,
J. Differential Equations 441 (2025), 113478.
Improvement of flatness for nonlocal free boundary problems,
Xavier Ros-Oton, Marvin Weidner,
J. Eur. Math. Soc. (2025), to appear.
Regularity for nonlocal equations with local Neumann boundary conditions,
Xavier Ros-Oton, Marvin Weidner,
Anal. PDE (2025), to appear.
Optimal regularity for nonlocal elliptic equations and free boundary problems,
Xavier Ros-Oton, Marvin Weidner,
preprint arXiv (2024).
The Harnack inequality fails for nonlocal kinetic equations,
Moritz Kassmann, Marvin Weidner,
Adv. Math. 459 (2024) 110030.
Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels,
Xavier Fernandez-Real, Xavier Ros-Oton,
Proc. Lond. Math. Soc. 129 (2024), e12629, 47pp.
Optimal regularity and fine asymptotics for the porous medium equation in bounded domains,
Tianling Jin, Xavier Ros-Oton, Jingang Xiong,
J. Reine Angew. Math. 809 (2024), 269-300.
Stable cones in the thin one-phase problem,
Xavier Fernandez-Real, Xavier Ros-Oton,
Amer. J. Math. 146 (2024), 631-685.