Lower semi-continuity for non-coercive polyconvex integrals in the limit case

Lower semi-continuity results for polyconvex functionals of the calculus of variations along sequences of maps u: Omega subset of R-n -> R-m in W-1,W-m, 2 <= m <= n, weakly converging in W-1,W-m-1 are established. In addition, for m = n + 1, we also consider the autonomous case for weakly converging maps in W-1,W-n-1. © 2016 Royal Society of Edinburgh.