On the shape of compact hypersurfaces with almost constant mean curvature

Giulio Ciraolo; Francesco Maggi

On the shape of compact hypersurfaces with almost constant mean curvature

Giulio Ciraolo, Francesco Maggi

Matematica e Informatica

Risultato della ricerca: Article › peer review

26 Citazioni (Scopus)

Abstract

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.

Lingua originale	English
pagine (da-a)	665-716
Numero di pagine	52
Rivista	Communications on Pure and Applied Mathematics
Volume	70
Stato di pubblicazione	Published - 2017

All Science Journal Classification (ASJC) codes

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Applied Mathematics

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title = "On the shape of compact hypersurfaces with almost constant mean curvature",

abstract = "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.",

keywords = "Alexandrov theorem., Mean curvature, capillarity theory, quantitative estimates, Alexandrov theorem., Mean curvature, capillarity theory, quantitative estimates",

author = "Giulio Ciraolo and Francesco Maggi",

year = "2017",

language = "English",

volume = "70",

pages = "665--716",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

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TY - JOUR

T1 - On the shape of compact hypersurfaces with almost constant mean curvature

AU - Ciraolo, Giulio

AU - Maggi, Francesco

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Alexandrov theorem.

KW - Mean curvature

KW - capillarity theory

KW - quantitative estimates

KW - Alexandrov theorem.

KW - Mean curvature

KW - capillarity theory

KW - quantitative estimates

UR - http://hdl.handle.net/10447/210000

M3 - Article

VL - 70

SP - 665

EP - 716

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

ER -