Sungjin Lee

collaborators

2 papers

math.AP2026

Gradient continuity for $p$ -Laplacian obstacle problems under mean oscillation conditions

Sungjin Lee, Jihoon Ok

We establish the $C^{1}$ -regularity of solutions to the obstacle problems associated with $p$ -Laplacian type equations, where $1 < p < \infty$ . Specifically, we prove that the gradient o…

math.AP2024

Lipschitz regularity of homogenization with continuous coefficients: Dirichlet problem

Sungjin Lee

We study uniform Lipschitz regularity estimates for elliptic systems in divergence form with continuous coefficients, based on rapidly oscillating periodic coefficients derived fro…

Gradient continuity for p-Laplacian obstacle problems under mean oscillation conditions

Lipschitz regularity of homogenization with continuous coefficients: Dirichlet problem

Gradient continuity for $p$ -Laplacian obstacle problems under mean oscillation conditions