Brunn-Minkowski inequality for the 1-Riesz capacity and level set   convexity for the 1/2-Laplacian
  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. 
Matteo Novaga, Berardo Ruffini (SNS)
math.AP