Gradient estimates for $(p,V)$-harmonic functions on Riemannian manifolds
Differential Geometry
2025-11-21 v1 Analysis of PDEs
Abstract
In this paper, we study -harmonic functions on complete Riemannian manifolds using the Moser iteration method. A volume comparison theorem and a Sobolev embedding theorem are established under the Bakry-mery curvature condition. Moreover, we obtain an explicit global gradient estimate for positive entire -harmonic functions.
Cite
@article{arxiv.2511.16058,
title = {Gradient estimates for $(p,V)$-harmonic functions on Riemannian manifolds},
author = {Yuxin Dong and Hezi Lin and Weihao Zheng},
journal= {arXiv preprint arXiv:2511.16058},
year = {2025}
}