Uniqueness theorems for stable anisotropic capillary surfaces

被引：11
作者：
Koiso, Miyuki [1 ]
Palmer, Bennett
机构：
[1] Nara Womens Univ, Dept Math, Nara 6308506, Japan
[2] Idaho State Univ, Dept Math, Pocatello, ID 83209 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2007年 / 39卷 / 03期
关键词：
anisotropic; capillary surface; uniqueness; stability;
D O I：
10.1137/060657297
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider capillary surfaces for certain rotationally invariant elliptic parametric functionals supported on two hydrophobically wetted horizontal plates separated by a fixed distance. It is shown that each such stable capillary surface is uniquely determined by the volume interior to the surface.
引用
收藏
页码：721 / 741
页数：21
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