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Advances in Calculus of Variations

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

Pekka Koskela1 / Jani Onninen2

1Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), Fin-40014, University of Jyväskylä, Finland. E-mail:

2Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA. E-mail:

Citation Information: Advances in Calculus of Variations. Volume 1, Issue 3, Pages 309–321, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: 10.1515/ACV.2008.013, November 2008

Publication History

Published Online:


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

Citing Articles

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Pekka Koskela
Computational Methods and Function Theory, 2011, Volume 10, Number 2, Page 663
Pekka Koskela, Jani Onninen, and Kai Rajala
Journal of Geometric Analysis, 2012, Volume 22, Number 4, Page 964

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