The nonlinear membrane model: Variational derivation under the constraint "det$\nabla u\not=0$"

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Acerbi, Buttazzo and Percivale gave a variational definition of the nonlinear string energy under the constraint "det$\nabla u>0$" (see [1]). In the same spirit, we obtain the nonlinear membrane energy under the simpler constraint "det$\nabla u\not=0$".
16 pages, submitted to Journal de Mathematiques pures et appliquees on 8 October, 2004

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Classical Analysis and ODEs, 49J45; 74K15

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http://salesiana.dossiersoluciones.com/handle/123456789/101190

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504169
 http://arxiv.org/abs/math/0504169

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arXiv