4 papers
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation
Adolfo Arroyo-Rabasa, Paolo Bonicatto
We establish a non-local integral difference quotient representation for symmetric gradient semi-norms in and , which does not require the manipulation of distributi…
Decomposition of integral metric currents
Paolo Bonicatto, Giacomo Del Nin, Enrico Pasqualetto
In the setting of complete metric spaces, we prove that integral currents can be decomposed as a sum of indecomposable components. In the special case of one-dimensional integral c…
On the structure of divergence-free measures on
Paolo Bonicatto, Nikolay A. Gusev
We consider the structure of divergence-free vector measures on the plane. We show that such measures can be decomposed into measures induced by closed simple curves. More generall…
Indecomposable sets of finite perimeter in doubling metric measure spaces
Paolo Bonicatto, Enrico Pasqualetto, Tapio Rajala
We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of doubling metric measure spaces supporting a weak -Poincaré inequality. Th…