Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets

Published:2021-10-02 Issue:14 Volume:32 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Hai Le Mau¹,Quan Vu Van²

Affiliation:

1. Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

2. Hanoi Architectural University, Hanoi, Vietnam

Abstract

In this paper, we establish existence of Hölder continuous solutions to the complex Monge–Ampère-type equation with measures vanishing on pluripolar subsets of a bounded strictly pseudoconvex domain [Formula: see text] in [Formula: see text].

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500993

Reference33 articles.

1. Monge–Ampère measures on pluripolar sets

2. Hölder regularity of the solution to the complex Monge-Ampère equation with $$L^p$$ L p density

3. The dirichlet problem for a complex Monge-Amp�re equation

4. Lecture Notes Pure and Applied Mathematics;Bedford E.,1979

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Weak Solutions to Monge–Ampère Type Equations on Compact Hermitian Manifold with Boundary;The Journal of Geometric Analysis;2022-10-27

2. Continuous Solutions to the Complex m-Hessian Type Equation on Strongly m-Pseudoconvex Domains in $${\mathbb {C}}^n$$;Results in Mathematics;2022-04-29

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP