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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 Koskela
  • Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), Fin-40014, University of Jyväskylä, Finland. E-mail:
/ Jani Onninen
  • Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA. E-mail:
Published Online: 2008-11-25 | DOI: https://doi.org/10.1515/ACV.2008.013


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. Export Citation

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