Abstract
We prove a Γ-convergence result for the family of functionals defined on H 1(Ω,;) by Jε(φ)=∫Ω, ;(ε|∇φ|2+1/ε|u(x)-eiφ|2p)dx, ∀ε > 0, for a given u ∈ BV(Ω,S1) and a parameter p ∈ [1,∞) . We show that in either of the two cases, p = 2 or u ∈ W 1,1(Ω,;,S1, any limit of the minimizers is an optimal lifting.
Original language | English |
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Pages (from-to) | 411-426 |
Number of pages | 16 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 28 |
Issue number | 4 |
DOIs | |
State | Published - 1 Apr 2007 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics