6533b858fe1ef96bd12b5886

RESEARCH PRODUCT

Quasiregular mappings and Young measures

Daniel FaracoKari Astala

subject

Set (abstract data type)Pure mathematicsGeneral MathematicsMathematics

description

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.

https://doi.org/10.1017/s0308210500002006