Gradient estimates for (p,V)-harmonic functions on Riemannian manifolds
Abstract
In this paper, we study (p,V)-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-Emery curvature condition. Moreover, we obtain an explicit global gradient estimate for positive entire (p,V)-harmonic functions.
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