The nonlinear membrane model: Variational derivation under the constraint "det∇ u=0"
Omar Anza Hafsa, Jean-Philippe Mandallena
Abstract
Acerbi, Buttazzo and Percivale gave a variational definition of the nonlinear string energy under the constraint "det∇ u>0" (see [1]). In the same spirit, we obtain the nonlinear membrane energy under the simpler constraint "det∇ u=0".
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