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

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 stati...

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Bibliographic Details
Published inCommunications on pure and applied mathematics Vol. 70; no. 4; pp. 665 - 716
Main Authors Ciraolo, Giulio, Maggi, Francesco
Format Journal Article
LanguageEnglish
Published New York John Wiley and Sons, Limited 01.04.2017
Subjects
Applied mathematics
Geometry
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.21683