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

Berardo Ruffini (SNS); Matteo Novaga

arxiv: 1401.4322 · v1 · pith:2NDIPBSNnew · submitted 2014-01-17 · 🧮 math.AP

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

Matteo Novaga , Berardo Ruffini (SNS) This is my paper

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keywords brunn-minkowskicapacityinequalitylaplacianlevelrieszcapacitaryconvex

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

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