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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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Volume 1, Issue 3 (Jan 2008)

Mappings of finite distortion: decay of the Jacobian in the plane

Pekka Koskela
  • Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), Fin-40014, University of Jyväskylä, Finland. E-mail:
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/ Jani Onninen
Published Online: 2008-11-25 | DOI: https://doi.org/10.1515/ACV.2008.013

Abstract

We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.

Keywords.: Mapping of finite distortion; Jacobian

About the article

Received: 2007-10-10

Revised: 2008-05-03

Published Online: 2008-11-25

Published in Print: 2008-10-01


Citation Information: Advances in Calculus of Variations, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/ACV.2008.013.

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Citing Articles

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[1]
Barbora Benešová and Malte Kampschulte
SIAM Journal on Mathematical Analysis, 2015, Volume 47, Number 6, Page 4404
[2]
Pekka Koskela
Computational Methods and Function Theory, 2011, Volume 10, Number 2, Page 663
[3]
Pekka Koskela, Jani Onninen, and Kai Rajala
Journal of Geometric Analysis, 2012, Volume 22, Number 4, Page 964

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