THE WULFF THEOREM REVISITED

被引：51

作者：

FONSECA, I

机构：

[1] Department of Mathematics, Carnegie Mellon University, Pittsburgh

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1991年 / 432卷 / 1884期

关键词：

D O I：

10.1098/rspa.1991.0009

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The parametrized indicator measures and the Brunn-Minkowski inequality are used to prove that the Wulff set W-GAMMA is a minimizer for the surface energy where the density is the support function of W-GAMMA. The support of the indicator measures associated to minimizing sequences is characterized. It is shown that if W-GAMMA is polyhedral then minimizing sequences cannot oscillate.

引用

页码：125 / 145

页数：21

共 23 条

[1] FIRST VARIATION OF A VARIFOLD [J].