Liouville property and regularity of a Hessian quotient equation

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	Liouville property and regularity of a Hessian quotient equation
	Bao, JG ; Chen, JY ; Guan, B ; Ji, M
	2003-04-01
发表期刊	AMERICAN JOURNAL OF MATHEMATICS
ISSN	0002-9327
卷号	125 期号:2 页码:301-316
摘要	We are concerned with properties of (convex) solutions to the Hessian quotient equation S-n,S-k(D(2)u) = phi, 1 less than or equal to k < n. As our first main result we prove sorne'regularity of strong solutions, while the second states that for phi equivalent to I an entire convex solution with a quadratic growth bound must be a quadratic polynomial.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000181997800003
出版者	JOHNS HOPKINS UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18707
专题	中国科学院数学与系统科学研究院
通讯作者	Bao, JG
作者单位	1.Beijing Normal Univ, Dept Math, Beijing, Peoples R China 2.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 3.Univ Tennessee, Dept Math, Knoxville, TN 37996 USA 4.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bao, JG,Chen, JY,Guan, B,et al. Liouville property and regularity of a Hessian quotient equation[J]. AMERICAN JOURNAL OF MATHEMATICS,2003,125(2):301-316.
APA	Bao, JG,Chen, JY,Guan, B,&Ji, M.(2003).Liouville property and regularity of a Hessian quotient equation.AMERICAN JOURNAL OF MATHEMATICS,125(2),301-316.
MLA	Bao, JG,et al."Liouville property and regularity of a Hessian quotient equation".AMERICAN JOURNAL OF MATHEMATICS 125.2(2003):301-316.