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Article Dans Une Revue Bulletin des Sciences Mathématiques Année : 2008

The nonlinear membrane energy : variational derivation under the constraint $\det \nabla u > 0$

Résumé

In [Anza Hafsa, O., Mandallena, J.-P., The nonlinear membrane energy: variational derivation under the constraint "detbackward differenceu≠0", J. Math. Pures Appl. 86 (2006) 100-115] we gave a variational definition of the nonlinear membrane energy under the constraint "detbackward differenceu≠0". In this paper we obtain the nonlinear membrane energy under the more realistic constraint "detbackward differenceu>0".

Dates et versions

hal-00584064 , version 1 (07-04-2011)

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Omar Anza Hafsa, J.P. Mandallena. The nonlinear membrane energy : variational derivation under the constraint $\det \nabla u > 0$. Bulletin des Sciences Mathématiques, 2008, 132, pp.272-291. ⟨10.1016/j.bulsci.2007.05.004⟩. ⟨hal-00584064⟩
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