| 一类Monge-Amp`{e}re 方程解的二阶导数估计 |
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| 引用本文： | 吴亚东,李合朋. 一类Monge-Amp`{e}re 方程解的二阶导数估计[J]. 数学研究及应用, 2014, 34(4): 475-480 |
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| 作者姓名： | 吴亚东 李合朋 |
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| 作者单位： | 江西师范大学数学与信息科学学院, 江西 南昌 330022;四川文理学院数学与财经学院, 四川 达州 635000 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11301231; 11171235). |
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| 摘 要： | In this paper, we consider a class of Monge-Ampere equations in relative differential geometry. Given these equations with zero boundary values in a smooth strictly convex bounded domain, we obtain second order derivative estimates of the convex solutions.
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| 关 键 词： | 二阶导数 方程 估计 安培 微分几何 严格凸 边界值 |
| 收稿时间： | 2013-07-19 |
| 修稿时间： | 2014-01-14 |
Second Order Derivative Estimates of the Solutions of a Class of Monge-Amp`{e}re Equations |
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| Yadong WU and Hepeng LI. Second Order Derivative Estimates of the Solutions of a Class of Monge-Amp`{e}re Equations[J]. Journal of Mathematical Research with Applications, 2014, 34(4): 475-480 |
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| Authors: | Yadong WU and Hepeng LI |
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| Affiliation: | College of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China;College of Mathematics and Finance, Sichuan University of Arts and Science, Sichuan 635000, P. R. China |
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| Abstract: | In this paper, we consider a class of Monge-Amp`{e}re equations in relative differential geometry. Given these equations with zero boundary values in a smooth strictly convex bounded domain, we obtain second order derivative estimates of the convex solutions. |
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| Keywords: | Monge-Amp`{e}re equation derivative estimate relative differential geometry. |
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