• Nonlocal Operators

• Regularity Theory

• Calculus of Variations

• Partial Differential Equations

• Stochastic Differential Equations

Publications:

• Local regularity for nonlocal equations with variable exponents (with Minhyun Kim)

Mathematische Nachrichten

• The concentration-compactness principle for the nonlocal anisotropic p-Laplacian of mixed order (with Minhyun Kim and Marvin Weidner) 

Nonlinear Analysis

• Entropy dissipation estimates for the Boltzmann equation without cut-off (with Luis Silvestre) 

Kinetic and Related Models 

• Regularity for nonlocal problems with non-standard growth (with Minhyun Kim and Marvin Weidner) 

Calculus of Variations and Partial Differential Equations

• Harnack inequality for nonlocal problems with non-standard growth (with Minhyun Kim and Marvin Weidner) 

Mathematische Annalen

• Regularity estimates for fractional orthotropic p-Laplacians of mixed order (with Minhyun Kim) 

Advances in Nonlinear Analysis

• Coercivity estimates for integro-differential operators (with Luis Silvestre) 

Calculus of Variations and Partial Differential Equations

• Regularity of solutions to anisotropic nonlocal equations 

Mathematische Zeitschrift

• Nonlocal operators with singular anisotropic kernels (with Moritz Kassmann) 

Communications in Partial Differential Equations

• The martingale problem for a class of nonlocal operators of diagonal type 

Mathematische Nachrichten

Preprints:

• Parabolic problems for direction-dependent local-nonlocal operators (with Moritz Kassmann and Marvin Weidner) 

arXiv Preprint