Resumen de The Brunn-Minkowski inequality for p-capacity of convex bodies

Andrea Colesanti, Paolo Salani

• In this paper we prove the Brunn-Minkowski inequality for the p-capacity of convex bodies (i.e convex compact sets with non-empty interior) in R n, for every p(1,n). Moreover we prove that the equality holds in such inequality if and only if the involved bodies coincide up to a translation and a dilatation.