Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898254 | Differential Geometry and its Applications | 2018 | 10 Pages |
Abstract
Let (Mn,g) be a complete noncompact n-dimensional Riemannian manifolds. In this paper, we consider the following Yamabe-type parabolic equationut=Îu+au+buα on MnÃ[0,â). We give a global gradient estimate of Hamilton-type for positive smooth solutions of this equation provided that Ricci curvature bounded from below. As its application, we show a dimension-free Harnack inequality and a Liouville-type theorem for nonlinear elliptic equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ha Tuan Dung,