Calculus of Variations and Geometric Measure Theory

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 on 02 Jan 2018


Published Paper

Inserted: 14 jan 2014
Last Updated: 2 jan 2018

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

ArXiv: 1401.4322 PDF


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