C-infinity LOCAL SOLUTIONS OF ELLIPTICAL 2-HESSIAN EQUATION IN R-3 | |
Tian, Guji1; Wang, Qi2; Xu, Chao-Jiang2,3 | |
刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
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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. |
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