Envelope Approach to Degenerate Complex Monge-Ampere Equations on Compact kahler Manifolds

Benelkourchi Slimane

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Envelope Approach to Degenerate Complex Monge-Ampere Equations on Compact kahler Manifolds

机译：在Compact Kahler歧管上退化复杂Monge-Ampere方程的信封方法

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摘要

We use the classical Perron envelope method to show a general existence theorem to degenerate complex Monge-Ampere type equations on compact Kahler manifolds.

机译：我们使用经典的珀罗朗包络方法来展示在紧凑型卡拉勒歧管上退化复杂的Monge-Ampere型方程的一般存在定理。

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来源
《Canadian Mathematical Bulletin》 |2017年第4期|共7页
作者
Benelkourchi Slimane;
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作者单位

Univ Quebec Dept Math CP 8888 Succursale Ctr Ville PK-5151 Montreal PQ H3C 3P8 Canada;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
degenerate complex Monge-Ampere equation; compact Mahler manifold; big cohomology; plurisubharmonic function;

机译：简并复杂的Monge-Ampere方程;紧凑的Mahler歧管;大型同学;Plurisubharmonic功能;

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专利

1. Envelope Approach to Degenerate Complex Monge-Ampere Equations on Compact kahler Manifolds [J] . Benelkourchi Slimane Canadian Mathematical Bulletin . 2017,第4期

机译：在Compact Kahler歧管上退化复杂Monge-Ampere方程的信封方法
2. Regularity of the degenerate Monge-Ampere equation on compact Kahler manifolds [J] . Blocki Z. Mathematische Zeitschrift . 2003,第1期

机译：紧Kahler流形上退化Monge-Ampere方程的正则性。
3. Holder continuity of solutions to the complex Monge-Ampere equation with the right-hand side in L-p: the case of compact Kahler manifolds [J] . Kolodziej S Mathematische Annalen . 2008,第2期

机译：L-p右边的复杂Monge-Ampere方程的解的保持子连续性：紧凑的Kahler流形的情况
4. Concept of a Complex Envelope Faber Polynomial Approach for the Solution of Maxwell’s Equations [C] . Hendrik Kleene, Dirk Schulz IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization . 2018

机译：麦克斯韦方程组求解的复杂包络费伯多项式方法的概念
5. DEFORMATION OF KAHLER MATRICS TO KAHLER-EINSTEIN METRICS ON COMPACT KAHLER MANIFOLDS (HANACK'S INEQUALITY, HAMILTON'S EQUATION, PARABOLIC MONGE-AMPERE) [D] . CAO, HUAI-DONG. 1986

机译：卡勒斯坦对Compact Kahler歧管的Kahler-Einstein指标的变形（Hanack的不平等，Hamilton等式，抛物线Monge-Ampere）
6. Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds [O] . Yum-Tong Siu 1979

机译：调和图的复杂分析和紧凑型Kähler流形的强刚性
7. A PRIORI ESTIMATES OF THE DEGENERATE MONGE-AMPERE EQUATION ON KAHLER MANIFOLDS OF NONNEGATIVE BISECTIONAL CURVATURE [O] . Sebastien Picard 2016

机译：关于非负半反曲率KaHLER流形的退化mEEE-ampERE方程的一个优先估计

Envelope Approach to Degenerate Complex Monge-Ampere Equations on Compact kahler Manifolds

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