On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature

被引：36
|
作者：
Ciraolo, Giulio [1 ]
Maggi, Francesco [2 ]
机构：
[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
[2] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, TS, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2017年 / 70卷 / 04期
基金：
美国国家科学基金会;
关键词：
ALEKSANDROV-FENCHEL INEQUALITY; STABILITY;
D O I：
10.1002/cpa.21683
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2017 Wiley Periodicals, Inc.
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页码：665 / 716
页数：52
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