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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.AP2023★ 3 cited
Partial regularity for degenerate parabolic systems with general growth via caloric approximations
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We establish a partial regularity result for solutions of parabolic systems with general -growth, where is an Orlicz function. In this setting we can develop a unified appro…
math.AP2023
Regularity theory for parabolic systems with Uhlenbeck structure
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We establish local regularity theory for parabolic systems of Uhlenbeck type with -growth. In particular, we prove local boundedness of weak solutions and their gradient, and th…