Gradient Estimates and Harnack Inequalities for Positive Solutions of ■ on Self-shrinkers

作     者：Ye Cheng ZHU Qing CHEN 

作者机构：Department of Applied Mathematics Anhui University of Technology Maanshan 243002 P. R. China Department of Mathematics University of Science and Technology of China Hefei 230026 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2019年第35卷第7期

页      面：1217-1226页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11271343) the Natural Science Foundation of the Higher Education Institutions of Anhui(Grant No.KJ2018A0059) 

主　　题：Harnack inequality self^shrinker ∞-Bakry-Emery Ricci tensor gradient estimate 

摘      要：In this paper, we investigate the positive solutions of ■u =■υ/■t on self-shrinkers, then get some gradient estimates and Harnack inequalities for the positive solutions.