TY - JOUR
T1 - Lower semi-continuity for non-coercive polyconvex integrals in the limit case
AU - De Philippis, G.
AU - Di Marino, S.
AU - Focardi, M.
N1 - Publisher Copyright:
Copyright © 2016 Royal Society of Edinburgh.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - 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.
AB - 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.
KW - lower semi-continuity
KW - minors
KW - polyconvex integrals
UR - http://www.scopus.com/inward/record.url?scp=84949556507&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84949556507&partnerID=8YFLogxK
U2 - 10.1017/S0308210515000438
DO - 10.1017/S0308210515000438
M3 - Article
AN - SCOPUS:84949556507
SN - 0308-2105
VL - 146
SP - 243
EP - 264
JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
IS - 2
ER -