Complements to the paper "$W^{1,1}$-maps with values into ${\mathbb S}^1$"

Haïm Brezis (1) , Petru Mironescu (2) , Augusto C. Ponce (1)

1 LJLL - Laboratoire Jacques-Louis Lions
2 EDPA

This is an unpublished followup of the paper "$W^{1,1}$-maps with values into ${\mathbb S}^1$" (Contemp. Math. vol. 368, 2005) of the same authors. It contains extensions and proofs of some of the results in that paper.

Mots clés: relaxed energy; lifting; unimodular maps; BV

Domaines: Analyse classique [math.CA]

Haïm Brezis, Petru Mironescu, Augusto C. Ponce. Complements to the paper "$W^{1,1}$-maps with values into ${\mathbb S}^1$". 2004. ⟨hal-00747667⟩