On the relation between minimizers of a Γ-limit energy and optimal lifting in BV-space

Radu Ignat, Arkady Poliakovsky

Research output: Contribution to journalArticlepeer-review

Abstract

We study the minimizers of an energy functional which is obtained as the Γ-limit of a family of functional depending on a small parameter ε > 0, associated with a function u ∈ BV(Ω, S1) and a positive parameter p. We find necessary and sufficient conditions on p and the dimension under which these minimizers coincide with the optimal liftings of u, for every u ∈ BV(Ω, S1).

Original languageEnglish
Pages (from-to)447-472
Number of pages26
JournalCommunications in Contemporary Mathematics
Volume9
Issue number4
DOIs
StatePublished - 1 Aug 2007
Externally publishedYes

Keywords

  • Functions of bounded variation
  • Lifting
  • Γ-limit

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