Jongmyeong Kim

activity

20242026

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2 papers · 1 filter

math.AP2026

The fractional $p$ -Laplacian on hyperbolic spaces

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee

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

math.AP2025

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 $H_{I^}^{n} º$ with curvature $- I^º < 0$ . We prove th…

The fractional p-Laplacian on hyperbolic spaces

Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces

The fractional $p$ -Laplacian on hyperbolic spaces