| f-拉普拉斯算子正调和函数的梯度估计 |
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| 引用本文： | 黄广月,张晶,张丛丛.f-拉普拉斯算子正调和函数的梯度估计[J].河南师范大学学报(自然科学版),2011,39(5):10-12. |
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| 作者姓名： | 黄广月 张晶 张丛丛 |
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| 作者单位： | 河南师范大学数学与信息科学学院,河南新乡,453007 |
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| 基金项目： | 国家自然科学基金(11001076); 河南省自然科学基金(092300410143;2009A110010;2010A110008) |
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| 摘 要： | 设M是m维完备的黎曼流形.在∞-Bakry-Emery Ricci曲率和Ricci曲率都有下界的条件下,Chen得到了f-拉普拉斯算子正调和函数的一类梯度估计.仅在∞-Bakry-Emery Ricci曲率有下界的条件下,得到了与Chen类似的梯度估计.
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| 关 键 词： | 梯度估计 f-拉普拉斯 ∞-Bakry-Emery Ricci曲率 |
Gradient Estimates for Positive Harmonic Functions of f-Laplacian Operator |
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| HUANG Guang-yue,ZHANG Jing,ZHANG Cong-cong.Gradient Estimates for Positive Harmonic Functions of f-Laplacian Operator[J].Journal of Henan Normal University(Natural Science),2011,39(5):10-12. |
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| Authors: | HUANG Guang-yue ZHANG Jing ZHANG Cong-cong |
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| Institution: | HUANG Guang-yue,ZHANG Jing,ZHANG Cong-cong (College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China) |
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| Abstract: | Let M be a m-dimensional complete Riemannian manifold.Under the assumption that both ∞-Bakry-Emery Ricci curvature and Ricci curvature are bounded from below,Chen has obtained a gradient estimate for positive harmonic functions of f-Laplacian operator.The aim of this paper is to derive the similar estimate to Chen's under the assumption that ∞-Bakry-Emery Ricci curvature is bounded with the lower line. |
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| Keywords: | gradient estimate f-Laplacian operator ∞-Bakry-Emery Ricci curvature |
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