On D.Y. Gao and R.W. Ogden's paper "Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation"

Details On D.Y. Gao and R.W. Ogden's paper "Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation" On D.Y. Gao and R.W. Ogden's paper "Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation"

2011-01-18

arxiv.org/abs/1101.3534v1

Mathematics

Optimization and Control

This paper has been submitted to QJMAM (The Quarterly Journal of Mechanics and Applied Mathematics) on February 19, 2010 and w

Scientific paper

In this note we prove that a recent result stated by D.Y. Gao and R.W. Ogden
on global minimizers and local extrema in a phase transition problem is false.
Our goal is achieved by providing a thorough analysis of the context and result
in question and counter-examples.

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