23 citations · 157 across the 57 of their papers we have counts for
7 papers · 2 filters
System of Porous Medium Equations
Sunghoon Kim, Ki-Ahm Lee
We investigate the evolution of population density vector, , of -species whose diffusion is controlled by its absolute value $\left|\bold{u…
The scalar curvature flow with a flat side
Hyo Seok Jang, Ki-Ahm Lee
We study the near-the-interface behavior of a compact convex scalar curvature flow with a flat side. Under suitable initial conditions on the flat side, we show that the interface…
Regularity for fully nonlinear integro-differential operators with kernels of variable orders
Minhyun Kim, Ki-Ahm Lee
We consider fully nonlinear elliptic integro-differential operators with kernels of variable orders, which generalize the integro-differential operators of the fractional Laplacian…
The Regularity Theory for the Double Obstacle Problem for Fully Nonlinear Operator
Ki-ahm Lee, Jinwan Park
In this paper, we prove the existence and uniqueness of () solutions of a double obstacle problem with obstacle functions. Moreover, we show the opt…
Boundary regularity for nonlocal operators with kernels of variable orders
Minhyun Kim, Panki Kim, Jaehun Lee +1
We study the boundary regularity of solutions of the Dirichlet problem for the nonlocal operator with a kernel of variable orders. Since the order of differentiability of the kerne…
Local Continuity and Asymptotic Behaviour of Degenerate Parabolic Systems
Sunghoon Kim, Ki-Ahm Lee
We study the local Hölder continuity and the asymptotic behaviour of solution, , of the degenerate system \begin{equation*} u^i_t=\nabla\cdot\left(m\,…
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…