Se-Chan Lee

activity

20222026

most citedThe Wiener criterion for nonlocal Dirichlet problems

23 citations · 27 across the 19 of their papers we have counts for

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Showing 2026 · math.APShow all

3 papers · 2 filters

math.AP2026

The $C^{p^{'}}$ -regularity conjecture near $p = 2$

Se-Chan Lee, Taehun Lee

We prove the $C^{p^{'}}$ -regularity conjecture in every dimension when $p > 2$ is sufficiently close to $2$ . To this end, we establish improved Hölder estimates for the gradients of $p$ …

math.AP2026

Capacitary estimates for solutions to nonlocal Dirichlet problems

Minhyun Kim, Se-Chan Lee, Marvin Weidner

We study the boundary regularity of weak solutions to nonlocal nonlinear elliptic equations with bounded measurable coefficients. Our main result establishes that a capacity densit…

math.AP2026

A priori estimates for solutions of degenerate fully nonlinear elliptic equations with $L^{p}$ data

Hongsoo Kim, Se-Chan Lee

We establish a priori regularity estimates for viscosity solutions of degenerate fully nonlinear elliptic equations with integrable right-hand sides. When the nonhomogeneous term b…

The Cp′-regularity conjecture near p=2

Capacitary estimates for solutions to nonlocal Dirichlet problems

A priori estimates for solutions of degenerate fully nonlinear elliptic equations with Lp data

The $C^{p^{'}}$ -regularity conjecture near $p = 2$

A priori estimates for solutions of degenerate fully nonlinear elliptic equations with $L^{p}$ data