2 papers
math.AP2025
Nonlinear nonlocal equations in Reifenberg flat domains
Sun-Sig Byun, Kyeongbae Kim, Kyeong Song
We consider nonhomogeneous fractional -Laplace equations defined on a bounded nonsmooth domain which goes beyond the Lipschitz category. Under a sufficient flatness assumption o…
math.AP2024
Global Calderón-Zygmund theory for fractional Laplacian type equations
Sun-Sig Byun, Kyeong Bae Kim, Deepak Kumar
We establish several fine boundary regularity results of weak solutions to non-homogeneous -fractional Laplacian type equations. In particular, we prove sharp Calderón-Zygmund…