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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论