Lower semi-continuity results for polyconvex functionals of the calculus of variations along sequences of maps u: Ω ⊂ Rn → Rm in W1,m, 2 ≤ m ≤ 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.
|Original language||English (US)|
|Number of pages||22|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|State||Published - Apr 1 2016|
- lower semi-continuity
- polyconvex integrals
ASJC Scopus subject areas