Gradient estimates for -harmonic functions on Riemannian manifolds
arXiv:2511.16058
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.