23 citations · 31 across the 16 of their papers we have counts for
5 papers · 1 filter
Uniform Integrability in Periodic Homogenization of Fully Nonlinear Equations
Sunghan Kim
This paper is devoted to the study of uniform - and -estimates for viscosity solutions to fully nonlinear, uniformly elliptic, periodic homogenizatio…
Robust near-diagonal Green function estimates
Moritz Kassmann, Minhyun Kim, Ki-Ahm Lee
We prove sharp near-diagonal pointwise bounds for the Green function for nonlocal operators of fractional order . The novelty of our results is two-fold: the…
Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces
Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
We establish the Krylov--Safonov theory for a large class of nonlocal operators of order on hyperbolic spaces with curvature . We prove the…
System of Degenerate Parabolic -Laplacian
Sunghoon Kim, Ki-Ahm Lee
In this paper, we study the mathematical properties of the solution to the degenerate parabolic system \begin{equation*} \bold{u}_t=\nabla\cd…
Harnack inequality for Nonlocal operators on Manifolds with nonnegative curvature
Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
We establish the Krylov Safonov Harnack inequalities and Holder estimates for fully nonlinear nonlocal operators of non-divergence form on Riemannian manifolds with nonnegative sec…