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Formulation equivalente en dimensions deux et trois de la notion de polyconvexite introduite par J. M. Ball dans ses travaux sur l'elasticite non lineaire. Demonstration des inegalites differentielles caracterisant, dans le cas isotropique, la 1-rang convexite

Quelques remarques sur les notions de $1-$rang convexité et de polyconvexité en dimensions 2 et 3