Negatively curved sets on surfaces of constant mean curvature in R3 are large

被引：8
|
作者：
Huang, WH [1 ]
Lin, CC
机构：
[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan
[2] Rice Univ, Dept Math, Houston, TX 77251 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1998年 / 141卷 / 02期
关键词：
D O I：
10.1007/s002050050074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that the negatively curved set M_ on a nonparametric surface M of constant mean curvature in R-3 must extend to the boundary partial derivative M, if M_ is nonempty. For M parametric, if M_ is compactly included in the interior of M; then M_ is at least as large as an extremal domain. The results imply certain convexity results on elliptic partial differential equations. Second-order calculus of variation is employed.
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页码：105 / 116
页数：12
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