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

Ruifeng Chen; Qiyue Ma; Jing Mao

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arXiv · 2607.04588

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

Ruifeng Chen·Qiyue Ma·Jing Mao

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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.

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Ruifeng Chen, Qiyue Ma, Jing Mao. 2026-07-06. Eigenvalue comparison theorems for the Witten-Laplacian and the weighted $p$-Laplacian on complete manifolds with a modified Ricci curvature bounded from below. https://arxiv.org/abs/2607.04588

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