Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations

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	Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations
	Guan, Pengfei 1; Xu, Lu 2
刊名	JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
	2013-07-01
卷号	680 页码:41-67
英文摘要	We establish a global geometric lower bound for the second fundamental form of the level surfaces of solutions to F(D(2)u, Du, u, x) = 0 in convex ring domains, in terms of boundary geometry and the structure of the elliptic operator F. We also prove a microscopic constant rank theorem, under a general structural condition introduced by Bianchini-Longinetti-Salani in 2009.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	RINGS
收录类别	SCI
语种	英语
WOS记录号	WOS:000321105300003
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1025]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei Province, Peoples R China
推荐引用方式 GB/T 7714	Guan, Pengfei,Xu, Lu. Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2013,680:41-67.
APA	Guan, Pengfei,&Xu, Lu.(2013).Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,680,41-67.
MLA	Guan, Pengfei,et al."Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 680(2013):41-67.