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Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board Member: Armstrong, Scott N. / Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gianazza, Ugo / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / McCann, Robert / Mingione, Giuseppe / Nystrom, Kaj / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Silvestre, Luis

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1864-8266
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Conformally constrained Willmore immersions

Reiner Michael Schätzle
Published Online: 2013-10-01 | DOI: https://doi.org/10.1515/acv-2013-0102

Abstract.

We prove that immersions which are critical for the Willmore functional for families of conformal variations satisfy the conformally constrained Euler–Lagrange equation.

Keywords: Conformally constrained Willmore surfaces; conformal parametrization

About the article

Received: 2011-09-20

Accepted: 2013-03-25

Published Online: 2013-10-01

Published in Print: 2013-10-01


Citation Information: Advances in Calculus of Variations, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv-2013-0102.

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© 2013 by Walter de Gruyter Berlin Boston. Copyright Clearance Center

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[1]
Yann Bernard
Communications in Partial Differential Equations, 2016, Volume 41, Number 10, Page 1513

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