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.

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

De Philippis G.;Di Marino S.;FOCARDI, Matteo
2016

Abstract

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.
2016
Settore MAT/05 - Analisi Matematica
lower semi-continuity; minors; polyconvex integrals
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/79429
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