3 citations · 7 across the 11 of their papers we have counts for
17 papers
Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations
Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee +1
We provide the Alexandroff-Bakelman-Pucci estimate and global -regularity for a class of singular/degenerate fully nonlinear elliptic equations. We also derive the existe…
C^{1,α}-regularity for a class of degenerate/singular fully nonlinear elliptic equations
Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee +1
We establish an optimal C^{1,α}-regularity for viscosity solutions of degenerate/singular fully nonlinear elliptic equations by finding minimal regularity requirements on the assoc…
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…
Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian
María del Mar González, Ki-Ahm Lee, Taehun Lee
We consider the following eigenvalue optimization in the composite membrane problem with fractional Laplacian: given a bounded domain , and ,…
Properties of Generalized Degenerate Parabolic Systems
Sunghoon Kim, Ki-Ahm Lee
In this paper, we consider the solution of the generalized parabolic system \begin{equation*} \left(u^i\right)_t=\nabla\cdot\left(mU^{m-1}\ma…
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…