C-infinity LOCAL SOLUTIONS OF ELLIPTICAL 2-HESSIAN EQUATION IN R-3

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	C-infinity LOCAL SOLUTIONS OF ELLIPTICAL 2-HESSIAN EQUATION IN R-3
	Tian, Guji 1; Wang, Qi 2; Xu, Chao-Jiang 2,3
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2016-02-01
卷号	36 期号:2 页码:1023-1039
关键词	Elliptical k- Hessian equation existence of local solutions convexities
英文摘要	In this work, we study the existence of local solutions to 2-Hessian equation in R-3. We consider the case that the right hand side function f possibly vanishes, changes the sign, is positively or negatively defined. We also give the convexities of solutions which are related with the annulation or the sign of right-hand side function f. The associated linearized operator are uniformly elliptic.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	DIMENSIONAL RIEMANNIAN-MANIFOLDS ; MONGE-AMPERE EQUATION ; DIRICHLET PROBLEM ; HESSIAN EQUATION ; CURVATURE ; R3
收录类别	SCI
语种	英语
WOS记录号	WOS:000360924400028
公开日期	2015-11-02
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/8156]
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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 3.Univ Rouen, CNRS, UMR 6085, Lab Math, F-76801 St Etienne, France
推荐引用方式 GB/T 7714	Tian, Guji,Wang, Qi,Xu, Chao-Jiang. C-infinity LOCAL SOLUTIONS OF ELLIPTICAL 2-HESSIAN EQUATION IN R-3[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2016,36(2):1023-1039.
APA	Tian, Guji,Wang, Qi,&Xu, Chao-Jiang.(2016).C-infinity LOCAL SOLUTIONS OF ELLIPTICAL 2-HESSIAN EQUATION IN R-3.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,36(2),1023-1039.
MLA	Tian, Guji,et al."C-infinity LOCAL SOLUTIONS OF ELLIPTICAL 2-HESSIAN EQUATION IN R-3".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 36.2(2016):1023-1039.