3 papers
math.AP2026
Lipschitz regularity for orthotropic functionals with general growth
Mikyoung Lee, Jihoon Ok, Bianca Stroffolini
We study the local Lipschitz regularity of local minimizers for a class of degenerate orthotropic functionals with -growth, where is a general N-function. Unlike standard…
math.AP2026
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…
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 wit…