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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

Received:
2007-10-10
Revised:
2008-05-03
Published Online:
2008-11-25

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

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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