Publications

Preprints

1. The Harnack inequality fails for nonlocal kinetic equations,
   M. Kassmann, M. Weidner.
   arXiv Preprint (2024)
   
   

2. Improvement of flatness for nonlocal free boundary problems,
   X. Ros-Oton, M. Weidner.
   arXiv Preprint (2024)
   
   

3. Regularity for nonlocal equations with local Neumann boundary conditions,
   X. Ros-Oton, M. Weidner.
   arXiv Preprint (2024)
   
   

4. Optimal regularity for nonlocal elliptic equations and free boundary problems,
   X. Ros-Oton, M. Weidner.
   arXiv Preprint (2024)
   
   

5. Potential theory for nonlocal drift-diffusion equations,
   Q.-H. Nguyen, S. Nowak, Y. Sire, M. Weidner.
   arXiv Preprint (2023)
   
   

6. Parabolic problems for direction-dependent local-nonlocal operators,
   J. Chaker, M. Kassmann, M. Weidner.
   arXiv Preprint (2023)
   
   

7. Gradient Riesz potential estimates for a general class of measure data quasilinear systems,
   I. Chlebicka, M. Kim, M. Weidner.
   arXiv Preprint (2023)
   
   

8. Semiconvexity estimates for nonlinear integro-differential equations,
   X. Ros-Oton, C. Torres-Latorre, M. Weidner.
   arXiv Preprint (2023)
   
   

9. Nonlocal operators related to nonsymmetric forms I: Hölder estimates,
   M. Kassmann, M. Weidner.
   arXiv Preprint (2022)
   
   

Publications

1. Obstacle problems for nonlocal operators with singular kernels,
   X. Ros-Oton, M. Weidner.
   Ann. Sc. Norm. Super. Pisa Cl. Sci. accepted for publication.
   
   

2. The parabolic Harnack inequality for nonlocal equations,
   M. Kassmann, M. Weidner.
   Duke Mathematical Journal. accepted for publication.
   
   

3. Nonlocal operators related to nonsymmetric forms II: Harnack inequalities,
   M. Kassmann, M. Weidner.
   Analysis & PDE. accepted for publication.
   
   

4. Concentration-compactness for the nonlocal anisotropic p-Laplacian of mixed order,
   J. Chaker, M. Kim, M. Weidner.
   Nonlinear Analysis. 232 (2023), 113254.
   
   

5. Harnack inequality for nonlocal problems with non-standard growth,
   J. Chaker, M. Kim, M. Weidner.
   Mathematische Annalen. 386 (2023), 533-550.
   
   

6. Markov chain approximations for nonsymmetric processes,
   M. Weidner.
   Stochastic Processes and their Applications. 158 (2023), 238-281.
   
   

7. Upper heat kernel estimates for nonlocal operators via Aronson's method,
   M. Kassmann, M. Weidner.
   Calculus of Variations and Partial Differential Equations. 62 (2023), 68.
   
   

8. Regularity for nonlocal problems with non-standard growth,
   J. Chaker, M. Kim, M. Weidner.
   Calculus of Variations and Partial Differential Equations. 61 (2022), 227.
   
   

PhD thesis

Energy methods for nonsymmetric nonlocal operators.
Published online. August 2022