A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain
文献类型：期刊论文
| 作者 | Liu, Pan2; Ma, Xi-Nan1; Xu, Lu3 |
| 刊名 | ADVANCES IN MATHEMATICS
 |
| 出版日期 | 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. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 非线性偏微分方程 |
| 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 |
| 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. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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