The fractional -Laplacian on hyperbolic spaces

J Kim, M Kim, KA Lee - arXiv preprint arXiv:2210.07029, 2022 - arxiv.org
We present three equivalent definitions of the fractional $ p $-Laplacian $(-\Delta_ {\mathbb
{H}^{n}})^{s} _ {p} $, $0< s< 1$, $ p> 1$, with normalizing constants, on the hyperbolic …

[PDF][PDF] Aleksandrov-Bakelman-Pucci estimate for nonlocal partial differential equation on manifold

김종명 - 2023 - s-space.snu.ac.kr
This thesis consists of three papers concerning nonlocal elliptic equations on the manifold.
In the first paper, we establish the Alexander-Bekelman-Pucci estimate, which is the …