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math.FA2018
A note on homogeneous Sobolev spaces of fractional order
Lorenzo Brasco, Ariel Salort
We consider a homogeneous fractional Sobolev space obtained by completion of the space of smooth test functions, with respect to a Sobolev--Slobodecki\uı norm. We compare it to the…
math.FA2012
A continuous model of transportation revisited
Lorenzo Brasco, Mircea Petrache
We review two models of optimal transport, where congestion effects during the transport can be possibly taken into account. The first model is Beckmann's one, where the transport…