Stable surfaces with constant anisotropic mean curvature and circular boundary
Stable surfaces with constant anisotropic mean curvature and circular boundary
复制标题
DOI：
10.1090/s0002-9939-2013-11892-7
复制
发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
Miyuki Koiso;B. Palmer
中科院分区：
文献类型：
--
作者：
Miyuki Koiso;B. Palmer
我们表明，对于一个轴对称的各向异性的表面能，只有稳定的盘型表面与各向异性的平均曲率恒定的有界圆位于一个平面正交的旋转轴的武尔夫形状的武尔夫形状和平盘的部分重新缩放。
We show that for an axially symmetric anisotropic surface energy, only stable disc-type surfaces with constant anisotropic mean curvature bounded by a circle which lies in a plane orthogonal to the rotation axis of the Wulff shape are rescalings of parts of the Wulff shape and the flat disc.