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一类Monge-Amp\`{e}re 方程解的二阶导数估计
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.
作者姓名:吴亚东  李合朋
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
基金项目:国家自然科学基金(Grant Nos.11301231; 11171235).
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.

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:2013/7/19 0:00:00
修稿时间:2014/1/14 0:00:00

Second Order Derivative Estimates of the Solutions of a Class of Monge-Amp\`{e}re Equations
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.
Authors:Yadong WU and Hepeng LI
Institution: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
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.
Keywords:Monge-Amp\`{e}re equation  derivative estimate  relative differential geometry  
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