A geometric approach to Poincar\'e inequality and Minkowski content of
separating sets
A geometric approach to Poincar\'e inequality and Minkowski content of
separating sets
The goal of this paper is to continue the study of the relation between the Poincar\'e inequality and the lower bounds of Minkowski content of separating sets, initiated in our previous work [Caputo, Cavallucci: Poincar\'e inequality and energy of separating sets, arXiv 2401.02762]. A new shorter proof is provided. An …