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math.FA2022
On a geometric combination of functions related to Prékopa-Leindler inequality
Graziano Crasta, Ilaria Fragalà
We introduce a new operation between nonnegative integrable functions on , that we call geometric combination; it is obtained via a mass transportation approach, pla…
math.FA2018
An extension of the pairing theory between divergence-measure fields and BV functions
Graziano Crasta, Virginia De Cicco
In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence--measure vector fields and functions of bounded variation, motivated by poss…