3 papers
math.AP2026
Gradient continuity for -Laplacian obstacle problems under mean oscillation conditions
Sungjin Lee, Jihoon Ok
We establish the -regularity of solutions to the obstacle problems associated with -Laplacian type equations, where . Specifically, we prove that the gradient o…
math.AP2025
Two-sided Gaussian estimates for fundamental solutions of second-order parabolic equations in non-divergence form
Seick Kim, Sungjin Lee, Georgios Sakellaris
We establish two-sided Gaussian bounds for the fundamental solution of second-order parabolic operators in non-divergence form under minimal regularity assumptions. Specifically, w…
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…