Calculus of Variations and Geometric Measure Theory
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G. Ciraolo - F. Maggi

On the shape of compact hypersurfaces with almost constant mean curvature

created by maggi on 23 Mar 2015
modified on 21 Oct 2016


Accepted Paper

Inserted: 23 mar 2015
Last Updated: 21 oct 2016

Journal: Comm. Pure Appl. Math.
Pages: 33
Year: 2016


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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