23 citations · 27 across the 19 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
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
Singularities of solutions of nonlocal nonlinear equations
Minhyun Kim, Se-Chan Lee
We study the local behavior of weak solutions, with possible singularities, of nonlocal nonlinear equations. We first prove that sets of capacity zero are removable for weak soluti…
math.AP2024
Regularity for solutions of non-uniformly elliptic equations in non-divergence form
Jongmyeong Kim, Se-Chan Lee
We prove the Aleksandrov--Bakelman--Pucci estimate for non-uniformly elliptic equations in non-divergence form. Moreover, we investigate local behaviors of solutions of such equati…