Moser-Trudinger type inequalities for the Hessian equation

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	Moser-Trudinger type inequalities for the Hessian equation
	Tian, Gu-Ji 2; Wang, Xu-Jia 1
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2010-10-15
卷号	259 期号:8 页码:1974-2002
关键词	Hessian equation Moser-Trudinger inequality A priori estimates
产权排序	第二
英文摘要	The k-Hessian equation for k >= 2 is a class of fully nonlinear partial differential equation of divergence form. A Sobolev type inequality for the k-Hessian equation was proved by the second author in 1994. In this paper, we prove the Moser-Trudinger type inequality for the k-Hessian equation. (C) 2010 Elsevier Inc. All rights reserved.
学科主题	非线性偏微分方程
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	NONLINEAR ELLIPTIC-EQUATIONS ; MONGE-AMPERE TYPE ; DIRICHLET PROBLEM ; EXISTENCE
收录类别	SCI
语种	英语
WOS记录号	WOS:000280868300003
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/2042]
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.Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT 0200, Australia 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Tian, Gu-Ji,Wang, Xu-Jia. Moser-Trudinger type inequalities for the Hessian equation[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2010,259(8):1974-2002.
APA	Tian, Gu-Ji,&Wang, Xu-Jia.(2010).Moser-Trudinger type inequalities for the Hessian equation.JOURNAL OF FUNCTIONAL ANALYSIS,259(8),1974-2002.
MLA	Tian, Gu-Ji,et al."Moser-Trudinger type inequalities for the Hessian equation".JOURNAL OF FUNCTIONAL ANALYSIS 259.8(2010):1974-2002.