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Proof of the Log-Convex Density Conjecture (1311.4012v3)
Published 16 Nov 2013 in math.DG
Abstract: We completely characterize isoperimetric regions in Rn with density eh, where h is convex, smooth, and radially symmetric. In particular, balls around the origin constitute isoperimetric regions of any given volume, proving the Log-Convex Density Conjecture due to Kenneth Brakke.
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