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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

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Volume 6, Issue 4


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


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, Volume 6, Issue 4, Pages 391–413, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv-2012-0104.

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Citing Articles

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

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