Young measures supported on invertible matrices
Barbora Benešová, Martin Kružík, Gabriel Pathó · Applicable Analysis · 2013
Motivated by variational problems in non-linear elasticity, we explicitly characterize the set of Young measures generated by gradients of a uniformly bounded sequence in where the inverted gradients are also bounded in . This extends the original results due to the studies Kinderlehrer and Pedregal. Besides, we completely describe Young measures generated by a sequence of matrix-valued mappings , such that is bounded, too, and the generating sequence satisfies the constraint .