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arxiv: 1410.3806 · v1 · pith:OQ5NNGGHnew · submitted 2014-10-14 · 🧮 math.AP

Another remark on constrained von Karman theories

classification 🧮 math.AP
keywords constrainedkarmanstationaryadmissibleallowsanotherconstructdata
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We study the natural non-flat version of the so-called "constrained von Karman" theory for thin nonlinearly elastic films. We prove that every (admissible) radially symmetric out-of-plane displacement on the unit disk is a stationary point. This allows us to construct data leading to constrained von Karman functionals which have infinitely many stationary points.

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