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Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian

Published 17 Jan 2014 in math.AP | (1401.4322v1)

Abstract: We prove that that the 1-Riesz capacity satisfi es a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex.

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