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math.AP2023
Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients
Mikyoung Lee, Jihoon Ok, Juncheol Pyo
We obtain -regularity estimates for weak solutions to -Laplacian type equations of differential forms. In particular, we prove local Calderón-Zygmund type estimates for equ…
math.AP2021
Local Hölder continuity for fractional nonlocal equations with general growth
Sun-Sig Byun, Hyojin Kim, Jihoon Ok
We study generalized fractional -Laplacian equations to prove local boundedness and Hölder continuity of weak solutions to such nonlocal problems by finding a suitable fractiona…