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 contribution | On a minimization problem related to lifting of BV functions with values in S1 |
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Original language | French |
Pages (from-to) | 855-860 |
Number of pages | 6 |
Journal | Comptes Rendus Mathematique |
Volume | 339 |
Issue number | 12 |
DOIs | |
State | Published - 15 Dec 2004 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics