Moser-Trudinger inequality for the complex Monge-Ampère equation

Jiaxiang Wang; Xu jia Wang; Bin Zhou

doi:10.1016/j.jfa.2020.108765

Moser-Trudinger inequality for the complex Monge-Ampère equation

Jiaxiang Wang, Xu jia Wang, Bin Zhou^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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-Ampère functional.

Original language	English
Article number	108765
Journal	Journal of Functional Analysis
Volume	279
Issue number	12
DOIs	https://doi.org/10.1016/j.jfa.2020.108765
Publication status	Published - 25 Dec 2020

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@article{475323640bb34696b2a838edcbf60574,

title = "Moser-Trudinger inequality for the complex Monge-Amp{\`e}re equation",

abstract = "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-Amp{\`e}re functional.",

keywords = "Complex Monge-Amp{\`e}re equation, Moser-Trudinger inequality, Regularity",

author = "Jiaxiang Wang and Wang, \{Xu jia\} and Bin Zhou",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = dec,

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doi = "10.1016/j.jfa.2020.108765",

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T1 - Moser-Trudinger inequality for the complex Monge-Ampère equation

AU - Wang, Jiaxiang

AU - Wang, Xu jia

AU - Zhou, Bin

PY - 2020/12/25

Y1 - 2020/12/25

N2 - 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-Ampère functional.

AB - 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-Ampère functional.

KW - Complex Monge-Ampère equation

KW - Moser-Trudinger inequality

KW - Regularity

UR - https://www.scopus.com/pages/publications/85091258221

U2 - 10.1016/j.jfa.2020.108765

DO - 10.1016/j.jfa.2020.108765

M3 - Article

SN - 0022-1236

VL - 279

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 12

M1 - 108765

ER -

Moser-Trudinger inequality for the complex Monge-Ampère equation

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