On the nonexistence of boundary branch points for minimal surfaces spanning smooth contours II

被引：0

作者：

Tromba, A. J. ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2011年 / 10卷 / 02期

关键词：

Plateau's problem; branch points; MINIMIZING SURFACES; IMMERSIONS; CURVES;

D O I：

10.1007/s11784-011-0067-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is the second in a series of two papers discussing the elementary but beautiful and fundamental question (open for some eighty years) of whether or not a minimal surface spanning a sufficiently smooth curve, which is a local minimizer, is immersed up to and including the boundary. We show that C (k) minimizers of energy or area cannot have nonexceptional boundary branch points.

引用

页码：253 / 277

页数：25

共 27 条

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[J]. Journal of Fixed Point Theory and Applications, 2011, 10 : 253 - 277
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