2 citations · 2 across the 3 of their papers we have counts for
4 papers
Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space
Kin Ming Hui, Jinwan Park
For , , and , we prove the existence, uniqueness and asymptotics near the origin of the singular eternal self-similar solutions o…
Regularity Results of the Thin Obstacle Problem for the -Laplacian
Sun-sig Byun, Ki-ahm Lee, Jehan Oh +1
We study thin obstacle problems involving the energy functional with -growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin o…
Nondivergence elliptic and parabolic problems with irregular obstacles
Sun-Sig Byun, Ki-Ahm Lee, Jehan Oh +1
We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irr…
The Regularity Theory for the Double Obstacle Problem
Ki-ahm Lee, Jinwan Park, Henrik Shahgholian
In this paper, we prove local regularity of free boundaries for the double obstacle problem with an upper obstacle , \begin{align*} Δu &=fχ_{Ω(u) \cap\{ u< ψ\} }+ Δψχ_{Ω…