A microscopic convexity theorem of level sets for solutions to elliptic equations

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	A microscopic convexity theorem of level sets for solutions to elliptic equations
	Xu, Lu
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2011
卷号	40 期号:1-2 页码:51-63
通讯作者	徐露
产权排序	第一
英文摘要	We study the microscopic level-set convexity theorem for elliptic equation Lu = f(x, u, Du), which generalize Korevaars' result in (Korevaar, Commun Part Diff Eq 15(4):541-556, 1990) by using different expression for the elementary symmetric functions of the principal curvatures of the level surface. We find out that the structure conditions on equation are as same as conditions in macroscopic level-set convexity results (see e.g. (Colesanti and Salani, Math Nachr 258:3-15, 2003; Greco, Bound Value Prob 1-15, 2006)). In a forthcoming paper, we use the same techniques to deal with Hessian type equations.
学科主题	非线性偏微分方程
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	INEQUALITIES ; MINKOWSKI ; RINGS
收录类别	SCI
语种	英语
WOS记录号	WOS:000284772900004
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1758]
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	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Xu, Lu. A microscopic convexity theorem of level sets for solutions to elliptic equations[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2011,40(1-2):51-63.
APA	Xu, Lu.(2011).A microscopic convexity theorem of level sets for solutions to elliptic equations.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,40(1-2),51-63.
MLA	Xu, Lu."A microscopic convexity theorem of level sets for solutions to elliptic equations".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 40.1-2(2011):51-63.