On Poincaré--Sobolev Levels for Fractional GJMS Operators on Hyperbolic Space

Huyuan chen; Rui Chen

doi:10.48550/arxiv.2602.03299

On Poincaré--Sobolev Levels for Fractional GJMS Operators on Hyperbolic Space

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Huyuan chen, Rui Chen

DOI: 10.48550/arxiv.2602.03299

Cited by: 0

Abstract

We study the monotonicity, attainment, and strict-gap regions of the Poincaré--Sobolev levels associated with fractional GJMS operators $P_s$ on hyperbolic space, where $0

Fields of Study & Subjects

Nonlinear Partial Differential Equations Mathematical Inequalities and Applications Geometric Analysis and Curvature Flows

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 3 February 2026
Document type: Preprint