Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board: Armstrong, Scott N. / Balogh, Zoltán / Cardiliaguet, Pierre / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Gianazza, Ugo / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / Mingione, Giuseppe / Nystrom, Kaj / Riviére, Tristan / Schaetzle, Reiner / Shen, Zhongwei / Silvestre, Luis / Tonegawa, Yoshihiro / Touzi, Nizar / Wang, Guofang

4 Issues per year

IMPACT FACTOR 2016: 1.182

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 2.045
Source Normalized Impact per Paper (SNIP) 2017: 1.138

Mathematical Citation Quotient (MCQ) 2016: 0.83

See all formats and pricing
More options …
Volume 6, Issue 4


Gradient Young measures, varifolds, and a generalized Willmore functional

Simon Masnou
  • Institut Camille Jordan, Université de Lyon, CNRS UMR 5208, Université Lyon 1, 43 bd du 11 novembre 1918, F-69622 Villeurbanne cedex, France
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Giacomo Nardi
Published Online: 2012-11-23 | DOI: https://doi.org/10.1515/acv-2011-0014


Being an open and bounded Lipschitz domain of ℝn, we consider the generalized Willmore functional defined on as

where , , . We propose a new framework that combines varifolds and Young measures to study the relaxation of F in with respect to the strong topology of .

Keywords: Willmore; mean curvature; relaxation; BV; varifolds; Young measures

About the article

Received: 2011-12-11

Revised: 2012-09-06

Accepted: 2012-09-21

Published Online: 2012-11-23

Published in Print: 2013-10-01

Citation Information: Advances in Calculus of Variations, Volume 6, Issue 4, Pages 433–482, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv-2011-0014.

Export Citation

© 2013 by Walter de Gruyter Berlin Boston.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Kristian Bredies, Thomas Pock, and Benedikt Wirth
SIAM Journal on Mathematical Analysis, 2015, Volume 47, Number 1, Page 566
Elie Bretin, Simon Masnou, and Édouard Oudet
Numerische Mathematik, 2015, Volume 131, Number 1, Page 115

Comments (0)

Please log in or register to comment.
Log in