localsolvabilityofthekhessianequations
文献类型：期刊论文
| 作者 | Tian Guji1; Wang Qi3; Xu Chaojiang2 |
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2016 |
| 卷号 | 59期号:9页码:1753 |
| ISSN号 | 1674-7283 |
| 英文摘要 | We give a classification of second-order polynomial solutions for the homogeneous k-Hessian equation σ_ku = 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~∞ local solution for nonhomogeneous term f without sign assumptions. |
| 语种 | 英语 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/15020]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 作者单位 | 1.中国科学院武汉物理与数学研究所 2.武汉大学 3.中南财经政法大学 |
| 推荐引用方式 GB/T 7714 | Tian Guji,Wang Qi,Xu Chaojiang. localsolvabilityofthekhessianequations[J]. sciencechinamathematics,2016,59(9):1753. |
| APA | Tian Guji,Wang Qi,&Xu Chaojiang.(2016).localsolvabilityofthekhessianequations.sciencechinamathematics,59(9),1753. |
| MLA | Tian Guji,et al."localsolvabilityofthekhessianequations".sciencechinamathematics 59.9(2016):1753. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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