On C~1,a Regularity for Monge-Ampere Equation

HU Yun-jiao; BAO Ji-guang

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On C~1,a Regularity for Monge-Ampere Equation

机译：关于C〜1，Monge-Ampere方程的正则性

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摘要

In this paper, we establish global C~1,1/4 estimates for the Dirichlet problem for the Monge-Ampere equation, which yield the corresponding existence and regularity results. Our conditions apply to both degenerate and nondegenerate cases.

机译：在本文中，我们为Monge-Ampere方程的Dirichlet问题建立了全局C〜1,1 / 4估计，得出了相应的存在性和规则性结果。我们的条件适用于简并案例和非简并案例。

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《Northeastern mathematical journal》 |2000年第1期|p.46-50|共5页
作者
HU Yun-jiao; BAO Ji-guang;
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正文语种 eng
中图分类数学;
关键词
Global C~1; 1/4 regularity; Monge-Ampere equation; degenerate;

机译：整体C〜1;1/4正则性;Monge-Ampere方程;退化;

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3. Regularity of Solutions to the Dirichlet Problem for Monge-Ampere Equations [J] . Charabati Mohamad Indiana University Mathematics Journal . 2017,第6期

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4. Generalized Monge-Ampere Equations for Freeform Optical System Design [C] . J. H. M. ten Thije Boonkkamp, L. B. Romijn, W. L. IJzerman European Conference on Numberical Mathematiocs and Advanced Applications . 2019

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On C~1,a Regularity for Monge-Ampere Equation

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