A Frequency Function and Singular Set Bounds for Branched Minimal Immersions

被引：11
|
作者：
Simon, Leon [1 ]
Wickramasekera, Neshan [2 ]
机构：
[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA
[2] Univ Cambridge, DPMMS, Cambridge CB3 0WB, England
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2016年 / 69卷 / 07期
关键词：
UNIQUE CONTINUATION; REGULARITY;
D O I：
10.1002/cpa.21642
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a frequency function monotonicity formula for two-valued C-1,C-alpha solutions to the minimal surface system on n-dimensional domains. We also establish the sharp regularity result that such solutions are of class C-1,C-1/2, and that their branch sets, if nonempty, have Hausdorff dimension equal to n - 2: (C) 2016 Wiley Periodicals, Inc.
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页码：1213 / 1258
页数：46
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