3 papers
math.AP2025
Optimal Hölder regularity for solutions to Signorini-type obstacle problems
Ki-Ahm Lee, Se-Chan Lee, Waldemar Schefer
We study the existence, uniqueness, and regularity of weak solutions to a class of obstacle problems, where the obstacle condition can be imposed on a subset of the domain. In part…
math.AP2024
Homogenization of an obstacle problem with highly oscillating coefficients and obstacles
Sunghoon Kim, Ki-Ahm Lee, Se-Chan Lee +1
We develop the viscosity method for the homogenization of an obstacle problem with highly oscillating obstacles. The associated operator, in non-divergence form, is linear and elli…
math.AP2024
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…