Published Paper
Inserted: 24 feb 2014
Last Updated: 17 dec 2018
Journal: Proceedings of the Royal Society of Edinburgh
Volume: 146A
Pages: 243--264
Year: 2016
Abstract:
Lower semicontinuity results for polyconvex functionals of the Calculus of Variations along sequences of maps $u:{\mathbb{R}}^n\to{\mathbb{R}}^m$ in $W^{1,m}$, $2\leq m\leq n$, weakly converging in $W^{1,m-1}$ are established.
In addition, for $m = n + 1$, we also consider the autonomous case for weakly converging maps in $W^{1,n-1}$.
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