On a minimization problem related to lifting of BV functions with values in S1 Academic Article uri icon

abstract

  • For u ∈ W 1 , 1 ( Ω , S 1 ) 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 , S 1 ) . To cite this article: A. Poliakovsky, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

publication date

  • January 1, 2004