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).
|Number of pages||26|
|Journal||Communications in Contemporary Mathematics|
|State||Published - 1 Aug 2007|
- Functions of bounded variation
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics