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math.FA2022
Representation formulas for pairings between divergence-measure fields and functions
Giovanni E. Comi, Graziano Crasta, Virginia De Cicco +1
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the…
math.FA2022★ 2 cited
On the variational nature of the Anzellotti pairing
Graziano Crasta, Virginia De Cicco
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation.…
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…