Journal
ANALYSIS & PDE
Volume 12, Issue 6, Pages 1613-1642Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/apde.2019.12.1613
Keywords
constant mean curvature; geometric measure theory; isoperimetric problem; sets of finite perimeter; varifolds; mean curvature flow
Categories
Funding
- NSF [DMS-1565354, DMS-1361122, DMS-1262411]
- EPSRC [EP/P031587]
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We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.
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