PRINCIPAL CURVATURE ESTIMATES FOR THE LEVEL SETS OF HARMONIC FUNCTIONS AND MINIMAL GRAPHS IN R3

被引：9

作者：

Ma, Xi-Nan ^{[1
]}

Ye, Jiang ^{[1
]}

Ye, Yun-Hua ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2011年 / 10卷 / 01期

基金：

美国国家科学基金会;

关键词：

Curvature estimate; level sets; harmonic function; minimal graph; CONVEX CURVES; SURFACES;

D O I：

10.3934/cpaa.2011.10.225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a sharp lower bound for the principal curvature of the level sets of harmonic functions and minimal graphs defined on convex rings in R-3 with homogeneous Dirichlet boundary conditions.

引用

页码：225 / 243

页数：19

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