Publication: On the relation between minimizers of a Γ-limit energy and optimal lifting in BV-space
On the relation between minimizers of a Γ-limit energy and optimal lifting in BV-space
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Ignat, R., & Poliakovsky, A. (2007). On the relation between minimizers of a Γ-limit energy and optimal lifting in BV-space. Communications in Contemporary Mathematics, 9(4), 447–472. https://doi.org/10.1142/S0219199707002496
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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, 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).
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- Ignat, R
- Poliakovsky, A
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Ignat, R., & Poliakovsky, A. (2007). On the relation between minimizers of a Γ-limit energy and optimal lifting in BV-space. Communications in Contemporary Mathematics, 9(4), 447–472. https://doi.org/10.1142/S0219199707002496
