On the shape of compact hypersurfaces with almost constant mean\n curvature

2015/03/23 by Giulio Ciraolo, Ciraolo, Giulio, Francesco Maggi +1 · 6 citations
Computer Science · Engineering · Mathematics · #49Q10 #49Q20 #53A10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Elasticity and Material Modeling #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1503.06674

openalex publication_date 2015/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The distance of an almost constant mean curvature boundary from a finite\nfamily of disjoint tangent balls with equal radii is quantitatively controlled\nin terms of the oscillation of the scalar mean curvature. This result allows\none to quantitatively describe the geometry of volume-constrained stationary\nsets in capillarity problems.\n

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