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math.AP2026
Fine regularity of fractional harmonic maps and applications
Kyeongbae Kim, Simon Nowak, Yannick Sire
In this paper, we derive several regularity results for harmonic mappings into Euclidean spheres associated with rather general energies related to fractional Sobolev spaces. These…
math.AP2025
Gradient estimates for nonlinear kinetic Fokker-Planck equations
Kyeongbae Kim, Ho-Sik Lee, Simon Nowak
In this work, we provide a comprehensive gradient regularity theory for a broad class of nonlinear kinetic Fokker-Planck equations. We achieve this by establishing precise pointwis…