Ki-Ahm Lee

activity

20102023

most citedThe Wiener criterion for nonlocal Dirichlet problems

23 citations · 157 across the 57 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

4 papers · 2 filters

math.AP2022

The fractional $p$ -Laplacian on hyperbolic spaces

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee

We present three equivalent definitions of the fractional $p$ -Laplacian $(- Δ_{H^{n}})_{p}^{s}$ , $0 < s < 1$ , $p > 1$ , with normalizing constants, on hyperbolic spaces. The expli…

math.AP2022

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 $C^{1, α}$ -regularity for a class of singular/degenerate fully nonlinear elliptic equations. We also derive the existe…

math.AP2022

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…

math.AP2022★ 23 cited

The Wiener criterion for nonlocal Dirichlet problems

Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee

We study the boundary behavior of solutions to the Dirichlet problems for integro-differential operators with order of differentiability $s \in (0, 1)$ and summability $p > 1$ . We es…

The fractional p-Laplacian on hyperbolic spaces

Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations

C^{1,α}-regularity for a class of degenerate/singular fully nonlinear elliptic equations

The Wiener criterion for nonlocal Dirichlet problems

The fractional $p$ -Laplacian on hyperbolic spaces