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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.
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).
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2007 |
| Deposited On: | 14 Dec 2009 09:52 |
| Last Modified: | 03 Mar 2025 02:37 |
| 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 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1142/S0219199707002496 |
Ignat, R