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ON ARTIN'S BRAID GROUP AND POLYCONVEXITY IN THE CALCULUS OF VARIATIONS

ON ARTIN'S BRAID GROUP AND POLYCONVEXITY IN THE CALCULUS OF VARIATIONS

Let Ω ⊂ R 2 be a bounded Lipschitz domain and let+ -→ R be a Carathèodory integrand such that F (x, •) is polyconvex for L 2 -a.e.x ∈ Ω. Moreover assume that F is bounded from below and satisfies the condition F (x, ξ)∞ as det ξ 0 …