The fractional $ p $-Laplacian on hyperbolic spaces

Mathematics in Engineering 2026 Open access

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Authors: Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
DOI: 10.3934/mine.2026003
Cited by: 0
References: 31

Abstract

Abstract Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p-Laplacian (−ΔHn)sp, 0 < s < 1, p > 1, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian as s → 1−. 2020 Mathematics Subject Classification. 35J92, 35R11.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Geometric Analysis and Curvature Flows Fractional Differential Equations Solutions

Publication details

Journal / source
Mathematics in Engineering
Volume
8
Issue
1
Pages
70–97
Publication date
1 January 2026
Language
EN