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The nonlinear membrane energy: variational derivation under the constraint "det∇ u>0"

Omar Anza Hafsa, Jean-Philippe Mandallena

math.CAarXiv:math/0507310

Abstract

In [4] we gave a variational definition of the nonlinear membrane energy under the constraint "det∇ u=0". In this paper we obtain the nonlinear membrane energy under the more realistic constraint "det∇ u>0".

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