A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain

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	A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain
	Liu, Pan 2; Ma, Xi-Nan 1; Xu, Lu 3
刊名	ADVANCES IN MATHEMATICS
	2010-10-20
卷号	225 期号:3 页码:1616-1633
关键词	Constant rank theorem Hessian equation Eigenvalue Brunn-Minkowski inequality
产权排序	第三
英文摘要	We use the deformation methods to obtain the strictly log concavity of solution of a class Hessian equation in bounded convex domain in R(3), as an application we get the Brunn-Minkowski inequality for the Hessian eigenvalue and characterize the equality case in bounded strictly convex domain in R(3). (C) 2010 Elsevier Inc. All rights reserved.
学科主题	非线性偏微分方程
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	ELLIPTIC-EQUATIONS ; FUNCTIONALS
收录类别	SCI
语种	英语
WOS记录号	WOS:000281045700016
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/2040]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China 2.E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Liu, Pan,Ma, Xi-Nan,Xu, Lu. A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain[J]. ADVANCES IN MATHEMATICS,2010,225(3):1616-1633.
APA	Liu, Pan,Ma, Xi-Nan,&Xu, Lu.(2010).A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain.ADVANCES IN MATHEMATICS,225(3),1616-1633.
MLA	Liu, Pan,et al."A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain".ADVANCES IN MATHEMATICS 225.3(2010):1616-1633.