In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak$^\star$ convergence in the space $BV$ of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages.
On the variational nature of the Anzellotti pairing / Crasta, Graziano; De Cicco, Virginia. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 18:3(2025), pp. 755-771. [10.1515/acv-2024-0067]
On the variational nature of the Anzellotti pairing
Graziano Crasta
;Virginia De Cicco
2025
Abstract
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak$^\star$ convergence in the space $BV$ of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages.File allegati a questo prodotto
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