Calculus of Variations and Geometric Measure Theory
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G. Crasta - V. De Cicco

An extension of the pairing theory between divergence-measure fields and BV functions

created by decicco on 29 Nov 2017
modified on 21 Jun 2018


Accepted Paper

Inserted: 29 nov 2017
Last Updated: 21 jun 2018

Journal: J. of Functional Analysis
Year: 2018


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 possible applications to evolutionary quasilinear problems. As a consequence of our analysis, we prove a generalized Gauss--Green formula.


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