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Book cover Lectures on Mappings of Finite Distortion

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2096))

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Abstract

In this chapter we briefly discuss the inner distortion function. We also give the connection in the plane between mappings of finite distortion and solutions to a degenerate Beltrami equation. Finally, we study the shape of the image of the unit disk under a mapping of finite distortion and we show that certain families of mappings with exponentially integrable distortion are closed under weak convergence.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Charles University, Prague 8, Czech Republic

    Stanislav Hencl

  2. Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland

    Pekka Koskela

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  1. Stanislav Hencl
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Hencl, S., Koskela, P. (2014). Final Comments. In: Lectures on Mappings of Finite Distortion. Lecture Notes in Mathematics, vol 2096. Springer, Cham. https://doi.org/10.1007/978-3-319-03173-6_7

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