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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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IMPACT FACTOR 2016: 1.182

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1864-8258
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Volume 6, Issue 4 (Oct 2013)

Estimates for the energy density of critical points of a class of conformally invariant variational problems

Tobias Lamm / Longzhi Lin
Published Online: 2012-07-20 | DOI: https://doi.org/10.1515/acv-2012-0104

Abstract.

We show that the energy density of critical points of a class of conformally invariant variational problems with small energy on the unit 2-disk lies in the local Hardy space . As a corollary we obtain a new proof of the energy convexity and uniqueness result for weakly harmonic maps with small energy on B1.

Keywords: Conformally invariant variational problems; energy density; local Hardy space; weakly harmonic maps

About the article

Received: 2012-02-20

Revised: 2012-06-12

Accepted: 2012-06-25

Published Online: 2012-07-20

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-2012-0104.

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

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.

[1]
Tobias Lamm and Ben Sharp
Communications in Partial Differential Equations, 2016, Volume 41, Number 4, Page 579
[2]
Longzhi Lin
Analysis & PDE, 2013, Volume 6, Number 8, Page 1899

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