On the Shape of Compact Hypersurfaces with Almost‐Constant Mean Curvature
On the Shape of Compact Hypersurfaces with Almost‐Constant Mean Curvature
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关于平均曲率几乎恒定的紧超曲面的形状
DOI：
10.1002/cpa.21683
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发表时间：
2015
影响因子：
3
通讯作者：
F. Maggi
中科院分区：
文献类型：
--
作者：
Giulio Ciraolo;F. Maggi
几乎常平均曲率边界到具有相等半径的不相交切球的有限族的距离根据标量平均曲率的振荡来定量控制。这一结果使人们能够定量地描述毛细作用问题中体积受限的静止集的几何形状。
The distance of an almost‐constant mean curvature boundary from a finite family of disjoint tangent balls with equal radii is quantitatively controlled in terms of the oscillation of the scalar mean curvature. This result allows one to quantitatively describe the geometry of volume‐constrained stationary sets in capillarity problems.© 2017 Wiley Periodicals, Inc.