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arxiv: math/0507310 · v4 · submitted 2005-07-15 · 🧮 math.CA

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

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keywords constraintenergymembranenablanonlinearundervariationaldefinition
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In [4] we gave a variational definition of the nonlinear membrane energy under the constraint "det\nabla u\not=0". In this paper we obtain the nonlinear membrane energy under the more realistic constraint "det\nabla u>0".

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