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"

M. D. Voisei; C. Zalinescu

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arXiv · 1101.3534

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"

M. D. Voisei·C. Zalinescu

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Abstract

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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M. D. Voisei, C. Zalinescu. 2011-01-18. 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". https://arxiv.org/abs/1101.3534

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