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Quasiregular mappings and Young measures

Published online by Cambridge University Press:  12 July 2007

Kari Astala  and
Daniel Faraco
Kari Astala
Affiliation:
Department of Mathematics, University of Jyväskylä, PO Box 35 (MaD), FIN-40351, Jyväskylä, FinlandAstala@math.jyu.fi
Daniel Faraco
Affiliation:
Department of Mathematics, University of Jyväskylä, PO Box 35 (MaD), FIN-40351, Jyväskylä, Finlanddanfara@math.jyu.fi
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Abstract

W1,p-gradient Young measures supported in the set Q2(K) of two-dimensional K-quasiconformal matrices are studied. We prove that these Young measures can be generated by gradients of K-quasiregular mappings. This leads, for example, to the 0-1 law for quasiregular W1,p-gradient Young measures and other quasiregular properties such as higher integrability.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 5 , October 2002 , pp. 1045 - 1056
Copyright
Copyright © Royal Society of Edinburgh 2002

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