23 citations · 27 across the 19 of their papers we have counts for
5 papers · 2 filters
Wolff potential estimates and Wiener criterion for nonlocal equations with Orlicz growth
Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee
We prove the Wolff potential estimates for nonlocal equations with Orlicz growth. As an application, we obtain the Wiener criterion in this framework, which provides a necessary an…
Supersolutions and superharmonic functions for nonlocal operators with Orlicz growth
Minhyun Kim, Se-Chan Lee
We study supersolutions and superharmonic functions related to problems involving nonlocal operators with Orlicz growth, which are crucial tools for the development of nonlocal non…
-regularity for functions in solution classes and its application to parabolic normalized -Laplace equations
Se-Chan Lee, Hyungsung Yun
We establish the global -regularity for functions in solution classes, whenever ellipticity constants are sufficiently close. As an application, we derive the global regu…
-regularity for solutions of degenerate/singular fully nonlinear parabolic equations
Ki-Ahm Lee, Se-Chan Lee, Hyungsung Yun
We establish the interior -estimate for viscosity solutions of degenerate/singular fully nonlinear parabolic equations For this purpose, we pr…
The Wiener criterion for fully nonlinear elliptic equations
Ki-Ahm Lee, Se-Chan Lee
We study the boundary continuity of solutions to fully nonlinear elliptic equations. We first define a capacity for operators in non-divergence form and derive several capacitary e…