localsolvabilityofthekhessianequations

	localsolvabilityofthekhessianequations
	Tian Guji 1; Wang Qi 3; Xu Chaojiang 2
刊名	sciencechinamathematics
	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
内容类型	期刊论文
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.