Noether’s theorem and the Willmore functional

Noether’s theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by...

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Bibliographic Details
Published inAdvances in calculus of variations Vol. 9; no. 3; pp. 217 - 234
Main Author Bernard, Yann
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 01.07.2016
Walter de Gruyter GmbH
Subjects
35J35
35J48
35J50
35R01
49Q10
53A30
58E15
58E30
conservation laws
Noether’s theorem
Willmore functional
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Summary:Noether’s theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Rivière. Several examples are considered in detail.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1864-8258
1864-8266
DOI:10.1515/acv-2014-0033