Minhyun Kim

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20242026

most citedHarnack inequality for fractional Laplacian-type operators on hyperbolic spaces

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2026

Orlicz Potential Theory: Balayage, Riesz Measures, and Very Weak Solutions

Iwona Chlebicka, Minhyun Kim, Ying Li +1

We develop a nonlinear potential theory for elliptic equations with Orlicz growth under general monotonicity and growth conditions, without any homogeneity or scaling assumptions.…

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

Orlicz Potential Theory: Balayage, Riesz Measures, and Very Weak Solutions

The fractional p-Laplacian on hyperbolic spaces

Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces

The fractional $p$ -Laplacian on hyperbolic spaces