Jongmyeong Kim

activity

20202023

most citedEntropy of the composition of two spherical twists

3 citations · 6 across the 10 of their papers we have counts for

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3 papers · 1 filter

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.AP2021★ 1 cited

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 $2 s \in (0, 2)$ on hyperbolic spaces $H_{κ}^{n}$ with curvature $- κ < 0$ . We prove the…

math.AP2021★ 1 cited

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…

The fractional p-Laplacian on hyperbolic spaces

Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces

Harnack inequality for Nonlocal operators on Manifolds with nonnegative curvature

The fractional $p$ -Laplacian on hyperbolic spaces