Local solvability of the k-Hessian equations
文献类型：期刊论文
| 作者 | Tian GuJi1; Wang Qi2; Xu Chao-Jiang3,4 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2016-09-01 |
| 卷号 | 59期号:9页码:1753-1768 |
| 关键词 | k-Hessian equations local solution uniform ellipticity implicit function theorem |
| 英文摘要 | We give a classification of second-order polynomial solutions for the homogeneous k-Hessian equation sigma(k)[u] = 0. There are only two classes of polynomial solutions: One is convex polynomial; another one must not be (k + 1)-convex, and in the second case, the k-Hessian equations are uniformly elliptic with respect to that solution. Based on this classification, we obtain the existence of C-infinity local solution for nonhomogeneous term f without sign assumptions. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | MONGE-AMPERE EQUATIONS ; DIMENSIONAL RIEMANNIAN-MANIFOLDS ; DIRICHLET PROBLEM ; CURVATURE ; BOUNDARY ; REGULARITY ; EXISTENCE ; R3 |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000384569600005 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9598]  |
| 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.Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China 3.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 4.Univ Rouen, CNRS, UMR 6085, Math Lab, F-76801 St Etienne, France |
| 推荐引用方式 GB/T 7714 | Tian GuJi,Wang Qi,Xu Chao-Jiang. Local solvability of the k-Hessian equations[J]. SCIENCE CHINA-MATHEMATICS,2016,59(9):1753-1768. |
| APA | Tian GuJi,Wang Qi,&Xu Chao-Jiang.(2016).Local solvability of the k-Hessian equations.SCIENCE CHINA-MATHEMATICS,59(9),1753-1768. |
| MLA | Tian GuJi,et al."Local solvability of the k-Hessian equations".SCIENCE CHINA-MATHEMATICS 59.9(2016):1753-1768. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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