The Neumann problem for the fractional Laplacian: optimal regularity via the Mellin transform,
Serena Dipierro, Xavier Ros-Oton, Enrico Valdinoci, Marvin Weidner.
arXiv Preprint (2025)
Higher regularity in nonlocal free boundary problems,
Begoña Barrios, Xavier Ros-Oton, Marvin Weidner.
arXiv Preprint (2025)
Optimal regularity for kinetic Fokker-Planck equations in domains,
Xavier Ros-Oton, Marvin Weidner.
arXiv Preprint (2025)
Optimal regularity for nonlocal elliptic equations and free boundary problems,
Xavier Ros-Oton, Marvin Weidner.
arXiv Preprint (2024)
Parabolic problems for direction-dependent local-nonlocal operators,
Jamil Chaker, Moritz Kassmann, Marvin Weidner.
arXiv Preprint (2023)
Gradient Riesz potential estimates for a general class of measure data quasilinear systems,
Iwona Chlebicka, Minhyun Kim, Marvin Weidner.
arXiv Preprint (2023)
Nonnegative solutions to nonlocal parabolic equations,
Naian Liao, Marvin Weidner.
Trans. Amer. Math. Soc. accepted for publication
Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form,
Minhyun Kim, Marvin Weidner.
J. Eur. Math. Soc. accepted for publication
Regularity for the Boltzmann equation conditional to pressure and moment bounds,
Xavier Fernández-Real, Xavier Ros-Oton, Marvin Weidner.
Comm. Math. Phys. 406 (2025), 175.
Nonlocal operators related to nonsymmetric forms I: Hölder estimates,
Moritz Kassmann, Marvin Weidner.
Math. Ann. accepted for publication.
Time-insensitive nonlocal parabolic Harnack estimates,
Naian Liao, Marvin Weidner.
Proc. Lond. Math. Soc. 130:5 (2025), e70051.
Improvement of flatness for nonlocal free boundary problems,
Xavier Ros-Oton, Marvin Weidner.
J. Eur. Math. Soc. (2025), No.1724.
Regularity for nonlocal equations with local Neumann boundary conditions,
Xavier Ros-Oton, Marvin Weidner.
Analysis & PDE. accepted for publication.
The Harnack inequality fails for nonlocal kinetic equations,
Moritz Kassmann, Marvin Weidner.
Adv. Math. 459 (2024) 110030.
Potential theory for nonlocal drift-diffusion equations,
Quoc-Hung Nguyen, Simon Nowak, Yannick Sire, Marvin Weidner.
Arch. Rat. Mech. Anal. 248 (2024), No.126.
Semiconvexity estimates for nonlinear integro-differential equations,
Xavier Ros-Oton, Clara Torres-Latorre, Marvin Weidner.
Comm. Pure Appl. Math. 78 (2025), No.3, 592-647.
Obstacle problems for nonlocal operators with singular kernels,
Xavier Ros-Oton, Marvin Weidner.
Ann. Sc. Norm. Super. Pisa Cl. Sci. accepted for publication.
The parabolic Harnack inequality for nonlocal equations,
Moritz Kassmann, Marvin Weidner.
Duke Math. J. 173 (2024), No.17, 3413-3451.
Nonlocal operators related to nonsymmetric forms II: Harnack inequalities,
Moritz Kassmann, Marvin Weidner.
Analysis & PDE. 17 (2024), No.9, 3189-3249.
Concentration-compactness for the nonlocal anisotropic p-Laplacian of mixed order,
Jamil Chaker, Minhyun Kim, Marvin Weidner.
Nonlinear Anal. 232 (2023), 113254.
Harnack inequality for nonlocal problems with non-standard growth,
Jamil Chaker, Minhyun Kim, Marvin Weidner.
Math. Ann. 386 (2023), 533-550.
Markov chain approximations for nonsymmetric processes,
Marvin Weidner.
Stoch. Proc. Appl. 158 (2023), 238-281.
Upper heat kernel estimates for nonlocal operators via Aronson's method,
Moritz Kassmann, Marvin Weidner.
Calc. Var. Partial Differential Equations. 62 (2023), 68.
Regularity for nonlocal problems with non-standard growth,
Jamil Chaker, Minhyun Kim, Marvin Weidner.
Calc. Var. Partial Differential Equations. 61 (2022), 227.
Energy methods for nonsymmetric nonlocal operators.
Published online. August 2022