6533b86cfe1ef96bd12c8277
RESEARCH PRODUCT
On the shape of compact hypersurfaces with almost constant mean curvature
Francesco MaggiGiulio Ciraolosubject
Mathematics - Differential GeometryMean curvatureOscillationApplied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisScalar (mathematics)Boundary (topology)TangentMetric Geometry (math.MG)Disjoint sets01 natural sciences010101 applied mathematicsMathematics - Analysis of PDEsMean curvature capillarity theory quantitative estimates Alexandrov theorem.Differential Geometry (math.DG)Mathematics - Metric Geometry49Q10 49Q20 53A10FOS: MathematicsMathematics::Differential Geometry0101 mathematicsConstant (mathematics)Analysis of PDEs (math.AP)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-03-23 |