Lower semicontinuity results for polyconvex functionals of the Calculus of Variations along sequences of maps u :Ω ⊂ R^n → R^m in W^{1,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} .
Lower semicontinuity for non-coercive polyconvex integrals in the limit case / G. De Philippis; S. Di Marino; M. Focardi. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 146:(2016), pp. 243-264. [10.1017/S0308210515000438]
Lower semicontinuity for non-coercive polyconvex integrals in the limit case
FOCARDI, MATTEO
2016
Abstract
Lower semicontinuity results for polyconvex functionals of the Calculus of Variations along sequences of maps u :Ω ⊂ R^n → R^m in W^{1,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} .
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