A Bernstein-type theorem for minimal graphs over convex domains

doi:10.4171/AIHPC/18

CSpace

	A Bernstein-type theorem for minimal graphs over convex domains
	Edelen, Nick 1; Wang, Zhehui 2
	2022-05-01
发表期刊	ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN	0294-1449
卷号	39 期号:3 页码:749-760
摘要	Given any n > 2, we show that if S2 Rn is an open convex domain (e.g. a half-space), and u: S2-* R is a solution to the minimal surface equation which agrees with a linear function on @S2, then u must itself be linear.
关键词	Minimal graphs Bernstein theorem convex domain Dirichlet boundary
DOI	10.4171/AIHPC/18
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000883283600006
出版者	EUROPEAN MATHEMATICAL SOC-EMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60620
专题	中国科学院数学与系统科学研究院
通讯作者	Edelen, Nick
作者单位	1.Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Edelen, Nick,Wang, Zhehui. A Bernstein-type theorem for minimal graphs over convex domains[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2022,39(3):749-760.
APA	Edelen, Nick,&Wang, Zhehui.(2022).A Bernstein-type theorem for minimal graphs over convex domains.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,39(3),749-760.
MLA	Edelen, Nick,et al."A Bernstein-type theorem for minimal graphs over convex domains".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 39.3(2022):749-760.