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math.AP2025
Regularity for fully nonlinear elliptic equations in generalized Orlicz spaces
Sun-Sig Byun, Jeongmin Han, Mikyoung Lee
In this paper, we establish an optimal global Calderón-Zygmund type estimate for the viscosity solution to the Dirichlet boundary problem of fully nonlinear elliptic equations with…
math.AP2025
Mean oscillation conditions for nonlinear equation and regularity results
Peter Hästö, Mikyoung Lee, Jihoon Ok
We consider general nonlinear elliptic equations of the form \[ \operatorname{div}\, A(x,Du) = 0 \quad \text{in } Ω, \] where satisfies a qu…