Sur un problème de minimisation lié au relévement des fonctions BV à valeurs dans S1

Translated title of the contribution: On a minimization problem related to lifting of BV functions with values in S1

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2 Scopus citations

Abstract

For u ∈ W1,1 (Ω, S1) denote by K the set of minimizers of the problem min ∫Ω u ∧ ∇ u - D φ , over φ ∈ BV (Ω) satisfying ∫Ω φ = 0. We show that an extreme point of K must be a lifting of u, up to an additive constant. We also prove a more general result for the case of u in BV (Ω, S1).

Translated title of the contributionOn a minimization problem related to lifting of BV functions with values in S1
Original languageFrench
Pages (from-to)855-860
Number of pages6
JournalComptes Rendus Mathematique
Volume339
Issue number12
DOIs
StatePublished - 15 Dec 2004
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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