Calculus of Variations and Geometric Measure Theory
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M. Novaga - B. Ruffini

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

created by novaga on 14 Jan 2014
modified by ruffini on 05 Jun 2017

[BibTeX]

Published Paper

Inserted: 14 jan 2014
Last Updated: 5 jun 2017

Journal: J. Convex Anal.
Volume: 22
Number: 4
Pages: 1125-1134
Year: 2015

Abstract:

We prove that that the 1-Riesz capacity satisfies a Brunn-Minkowski inequality, and that the capacitary function of the 12-Laplacian is level set convex.


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