UZH-Logo

Maintenance Infos

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).

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).

Altmetrics

Downloads

19 downloads since deposited on 14 Dec 2009
11 downloads since 12 months
Detailed statistics

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:05 Apr 2016 13:23
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
Permanent URL: https://doi.org/10.5167/uzh-21554

Download

[img]
Preview
Content: Accepted Version
Filetype: PDF
Size: 294kB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations