Second Order Derivative Estimates of the Solutions of a Class of Monge-Ampère Equations

Second Order Derivative Estimates of the Solutions of a Class of Monge-Ampère Equations

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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Veröffentlicht in:数学研究及应用：英文版 2014 (4), p.475-480
1. Verfasser: Yadong WU Hepeng LI
Format: Artikel
Sprache:eng
Schlagworte:
严格凸
二阶导数
估计
安培
微分几何
方程
边界值
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Zusammenfassung: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.
ISSN:2095-2651