A non-convex variational problem appearing in a large deformation elasticity problem
arXiv:1202.3515
Abstract
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.
This paper has been submitted to ZAMP (Zeitschrift für angewandte Mathematik und Physik) on April 07, 2010 and was first rejected on December 08, 2010; then, on December 06, 2011 we get the decision "The Editorial Board of ZAMP does not want to pursue this matter any further", without any report. For more details see: http://www.math.uaic.ro/~zalinesc/