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


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.

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, 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).

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, 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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2007
Deposited On:14 Dec 2009 09:52
Last Modified:26 Jan 2017 08:45
Publisher:World Scientific Publishing
ISSN:0219-1997
Additional Information:Electronic version of an article published as Communications in Contemporary Mathematics, 9(4) 2007:447-472 [Article DOI: 10.1142/S0219199707002496 © 2007 World Scientific Publishing Company http://www.worldscinet.com/ccm/ccm.shtml
Publisher DOI:https://doi.org/10.1142/S0219199707002496

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