A non-convex variational problem appearing in a large deformation elasticity problem

Details A non-convex variational problem appearing in a large deformation elasticity problem A non-convex variational problem appearing in a large deformation elasticity problem

2012-02-16

arxiv.org/abs/1202.3515v1

Mathematics

Optimization and Control

This paper has been submitted to ZAMP (Zeitschrift f\"ur angewandte Mathematik und Physik) on April 07, 2010 and was first rej

Scientific paper

A result concerning global extrema in a nonsmooth nonconvex variational problem that appears in applications (e.g. in a large deformation elasticity problem) is investigated in comparison with a result of D.Y. Gao and R.W. Ogden. The tools used are elementary and the results derived improve upon and correct a recent similar result, more precisely, Theorem 4 of the paper "Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem" by the fore-mentioned authors.

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