On the shape of compact hypersurfaces with almost constant mean curvature

Giulio Ciraolo; Francesco Maggi

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arXiv · 1503.06674

On the shape of compact hypersurfaces with almost constant mean curvature

Giulio Ciraolo·Francesco Maggi

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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.

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Giulio Ciraolo, Francesco Maggi. 2015-04-10. On the shape of compact hypersurfaces with almost constant mean curvature. https://arxiv.org/abs/1503.06674

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