Work

Eigenvalue comparison theorems for the Witten-Laplacian and the weighted $p$-Laplacian on complete manifolds with a modified Ricci curvature bounded from below

Year: 2026

Type: preprint

Abstract: In this paper, for complete manifolds with a modified Ricci curvature bounded from below, we can successfully set up Cheng-type eigenvalue comparison theorems for the first Dirichlet eigenvalues of the Witten-Laplacian and the weighted $p$-Laplacian on geodesic balls of these manifolds.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.04588

Authors: Chen, Ruifeng, Ma, Qiyue, Mao, Jing

Institution: Hubei University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Hubei University

Awards: G6540017156, G7717690564

OpenAlex ID: W7167625850

Cites: 2

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Related to: 10