| 紧黎曼流形上椭圆型方程的逐点梯度估计 |
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| 引用本文： | 陈凡,阮其华.紧黎曼流形上椭圆型方程的逐点梯度估计[J].漳州师院学报,2013(3):35-39. |
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| 作者姓名： | 陈凡 阮其华 |
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| 作者单位： | [1]闽南师范大学数学与统计学院,福建漳州363000 [2]莆田学院数学系,福建莆田351100 |
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| 基金项目： | 福建省自然科学基金（2012J01015） |
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| 摘 要： | 本文主要讨论带有非负Bakry-Emery Ricci曲率的紧致黎曼流形上一类半线性椭圆型方程解的梯度估计，利用“P-函数技术”与极大值原理得到了解的最优逐点梯度估计。
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| 关 键 词： | 紧致流形 Bakry-Emery Ricci曲率 梯度估计 |
A Pointwise Gradient Estimation for Elliptic Equations on Compact Riemannian Manifolds |
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| CHEN Fan,RUAN Qi-hua.A Pointwise Gradient Estimation for Elliptic Equations on Compact Riemannian Manifolds[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2013(3):35-39. |
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| Authors: | CHEN Fan RUAN Qi-hua |
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| Institution: | 1. College of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China; 2. Dept. of Math, Putian Univerisity, Putian, Fujian 351100, China ) |
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| Abstract: | In this paper, we prove a pointwise gradient bound for a quasiliear elliptic equation on compact Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature. We use the “P-function technique” and Maximum Principle to obtain the optimal pointwise gradient estimation for solutions. |
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| Keywords: | Compact Riemannian manifolds Bakry-Emery Ricci curvature Gradient estimation |
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