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Quasiregular mappings and Young measures

Kari Astala, Daniel Faraco

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Source: Crossref

Published: Oct 1, 2002

DOI: 10.1017/s0308210500002006

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Source abstract

W 1, p -gradient Young measures supported in the set Q 2 ( 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 W 1, p -gradient Young measures and other quasiregular properties such as higher integrability.

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