Sharp lower bound of the first eigenvalue of the $p$-Laplacian under integral Ricci curvature
Year: 2026
Type: preprint
Abstract: We prove a sharp Zhong-Yang type lower bound for the first nonzero eigenvalue of the $p$-Laplacian on closed manifolds with small integral Ricci curvature for $p \geq 2$. The proof combines a global elliptic estimate obtained by Sobolev truncation with strict perturbations of one-dimensional comparison profiles.
Source: arXiv (Cornell University)
Author: Seto, Shoo
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221527395