Moser-Trudinger inequality for the complex Monge-Ampere equation

被引：9

作者：

Wang, Jiaxiang ^{[1
]}

Wang, Xu-jia ^{[2
]}

Zhou, Bin ^{[3
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

[2] Australian Natl Univ, Ctr Math & Its Applicat, Canberra, ACT 2601, Australia

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 279卷 / 12期

关键词：

Complex Monge-Ampere equation; Moser-Trudinger inequality; Regularity; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; MANIFOLDS; ENERGY;

D O I：

10.1016/j.jfa.2020.108765

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Ampere functional. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：20

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