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

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

2005-04-08

arxiv.org/abs/math/0504169v2

Mathematics

Classical Analysis and ODEs

16 pages, submitted to Journal de Mathematiques pures et appliquees on 8 October, 2004

Scientific paper

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$\nabla u\not=0$".

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