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

abstract

  • We study the minimizers of an energy functional which is obtained as the Γ-limit of a family of functionals depending on a small parameter ε > 0, associated with a function u ∈ BV (Ω, S 1) 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, S 1).

publication date

  • January 1, 2007