The Dirichlet Problem on Almost Hermitian Manifolds

Chang Li; Tao Zheng

doi:10.1007/s12220-020-00540-w

The Dirichlet Problem on Almost Hermitian Manifolds

Chang Li, Tao Zheng^*

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

We prove second-order a priori estimate on the boundary for the Dirichlet problem of a class of fully nonlinear equations on compact almost Hermitian manifolds with smooth boundary. As applications, we solve the Dirichlet problem of the Monge–Ampère type equation and of the degenerate Monge–Ampère equation.

源语言	英语
页（从-至）	6452-6480
页数	29
期刊	Journal of Geometric Analysis
卷	31
期	6
DOI	https://doi.org/10.1007/s12220-020-00540-w
出版状态	已出版 - 6月 2021

访问文件

10.1007/s12220-020-00540-w

其它文件与链接

链接到 Scopus 的出版物

引用此

Li, C., & Zheng, T. (2021). The Dirichlet Problem on Almost Hermitian Manifolds. Journal of Geometric Analysis, 31(6), 6452-6480. https://doi.org/10.1007/s12220-020-00540-w

@article{7b3daa583f354c3e83a4893b288ca79d,

title = "The Dirichlet Problem on Almost Hermitian Manifolds",

abstract = "We prove second-order a priori estimate on the boundary for the Dirichlet problem of a class of fully nonlinear equations on compact almost Hermitian manifolds with smooth boundary. As applications, we solve the Dirichlet problem of the Monge–Amp{\`e}re type equation and of the degenerate Monge–Amp{\`e}re equation.",

keywords = "A priori estimate, Almost Hermitian manifold, Degenerate Monge–Amp{\`e}re equation, Dirichlet problem, Monge–Amp{\`e}re type equation",

author = "Chang Li and Tao Zheng",

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

year = "2021",

month = jun,

doi = "10.1007/s12220-020-00540-w",

language = "English",

volume = "31",

pages = "6452--6480",

journal = "Journal of Geometric Analysis",

issn = "1050-6926",

publisher = "Springer New York",

number = "6",

}

TY - JOUR

T1 - The Dirichlet Problem on Almost Hermitian Manifolds

AU - Li, Chang

AU - Zheng, Tao

PY - 2021/6

Y1 - 2021/6

N2 - We prove second-order a priori estimate on the boundary for the Dirichlet problem of a class of fully nonlinear equations on compact almost Hermitian manifolds with smooth boundary. As applications, we solve the Dirichlet problem of the Monge–Ampère type equation and of the degenerate Monge–Ampère equation.

AB - We prove second-order a priori estimate on the boundary for the Dirichlet problem of a class of fully nonlinear equations on compact almost Hermitian manifolds with smooth boundary. As applications, we solve the Dirichlet problem of the Monge–Ampère type equation and of the degenerate Monge–Ampère equation.

KW - A priori estimate

KW - Almost Hermitian manifold

KW - Degenerate Monge–Ampère equation

KW - Dirichlet problem

KW - Monge–Ampère type equation

UR - http://www.scopus.com/inward/record.url?scp=85093968252&partnerID=8YFLogxK

U2 - 10.1007/s12220-020-00540-w

DO - 10.1007/s12220-020-00540-w

M3 - Article

AN - SCOPUS:85093968252

SN - 1050-6926

VL - 31

SP - 6452

EP - 6480

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 6

ER -

The Dirichlet Problem on Almost Hermitian Manifolds

摘要

访问文件

其它文件与链接

指纹

引用此