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Differential Inclusions and Young Measures Involving Prescribed Jacobians

Konstantinos Koumatos, Filip Rindler and Emil Wiedemann
SIAM Journal on Mathematical Analysis 47 (2) 1169 (2015)
DOI: 10.1137/140968860
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Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L data and applications to nonlinear elasticity

Julian Fischer and Olivier Kneuss
Journal of Differential Equations 266 (1) 257 (2019)
DOI: 10.1016/j.jde.2018.07.045
See this article