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Regularity of entire solutions to the complex Monge-Ampere equation

机译：复数Monge-Ampere方程的整体解的正则性

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摘要

A regularity theorem for the solutions of the complex Monge-Ampere equation in C-n with the right hand side having finite mass is proved.

机译：证明了右手边具有有限质量的C-n中复杂Monge-Ampere方程解的正则定理。

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来源
《Communications in analysis and geometry》 |2004年第5期|共11页
作者
Kolodziej S;
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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
DIRICHLET PROBLEM;

机译：狄利克雷问题;

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1. Regularity of entire solutions to the complex Monge-Ampere equation [J] . Kolodziej S Communications in analysis and geometry . 2004,第5期

机译：复数Monge-Ampere方程的整体解的正则性
2. Holder regularity of the solution to the complex Monge-Ampere equation with L-p density [J] . Baracco Luca, Tran Vu Khanh, Pinton Stefano, Calculus of variations and partial differential equations . 2016,第4期

机译：具有L-p密度的复杂Monge-Ampere方程解的Holder正则性
3. Boundary regularity of the solution to the complex Monge-Ampere equation on pseudoconvex domains of infinite type [J] . Ly Kim Ha, Tran Vu Khanh Mathematical research letters: MRL . 2015,第2期

机译：无限型伪凸域上复Monge-Ampere方程解的边界正则性
4. Weak solutions to the complex Monge-Ampere equation [C] . S?awomir Ko?odziej European Congress of Mathematics . 2013

机译：复杂的Monge-Ampere方程的弱解
5. Regularity of a class of weak solutions to the Monge-Ampere equation. [D] . Hartenstine, David Ashley. 2001

机译：Monge-Ampere方程的一类弱解的正则性。
6. REGULARITY THEOREMS FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS [O] . Felix E. Browder 1957

机译：可变系数偏微分方程解的正则定理
7. Entire invariant solutions to Monge-Ampere equations [O] . Bielawski, Roger 2003

机译：monge-ampere方程的整个不变解

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