Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball

doi:10.1007/s00526-020-01911-5

	Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball
	Li, Chao 1; Li, Jiayu 1,2; Zhang, Xi 1
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2021-01-18
卷号	60 期号:1 页码:17
ISSN号	0944-2669
DOI	10.1007/s00526-020-01911-5
英文摘要	In this paper, we consider the Dirichlet problem of a complex Monge-Ampere equation on a ball in C-n. With C-1,C-alpha (resp. C-0,C-alpha) data, we prove an interior C-1,C-alpha (resp. C-0,C-alpha) estimate for the solution. These estimates are generalized versions of the Bedford-Taylor interior C-1,C-1 estimate.
资助项目	NSF in China[11625106] ; NSF in China[11721101] ; project Analysis and Geometry on Bundle of Ministry of Science and Technology of the People's Republic of China[SQ2020YFA070080]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000611978300024
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58076]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xi
作者单位	1.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China 2.Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Chao,Li, Jiayu,Zhang, Xi. Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2021,60(1):17.
APA	Li, Chao,Li, Jiayu,&Zhang, Xi.(2021).Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,60(1),17.
MLA	Li, Chao,et al."Some interior regularity estimates for solutions of complex Monge-Ampere equations on a ball".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 60.1(2021):17.