23 citations · 157 across the 57 of their papers we have counts for
4 papers · 1 filter
Higher Order Convergence Rates in Theory of Homogenization I: Equations of Non-divergence Form
Sunghan Kim, Ki-Ahm Lee
We establish higher order convergence rates in the theory of periodic homogenization of both linear and fully nonlinear uniformly elliptic equations of non-divergence form. The rat…
Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents
Woocheol Choi, Seunghyeok Kim, Ki-Ahm Lee
The objective of this paper is to obtain qualitative characteristics of multi-bubble solutions to the Lane-Emden-Fowler equations with slightly subcritical exponents given any dime…
Regularity for fully nonlinear integro-differential operators with regularly varying kernels
Soojung Kim, Yong-Cheol Kim, Ki-Ahm Lee
In this paper, the regularity results for the integro-differential operators of the fractional Laplacian type by Caffarelli and Silvestre \cite{CS1} are extended to those for the i…
The Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations
Yong-Cheol Kim, Ki-Ahm Lee
In this paper, we prove the Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations.