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arXiv 1101.3534math.OC
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在D.Y. Gao和R.W. Ogden的论文“Multiple solutions to non-convex变分问题with implications for phase transitions and数值计算“

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

备注：
This paper has been submitted to QJMAM (The Quarterly Journal of Mechanics and Applied Mathematics) on February 19, 2010 and was rejected on October 19, 2010. The reason for the rejection was that "the paper is more like a pure math paper" and this decision was taken mainly after the editor investigated our web-pages. For more details see http://www.math.uaic.ro/~zalinesc/
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摘要：

本文证明了D.Y. Gao和R.W. Ogden关于相变问题的全局极小和局部极值的理论是错误的。我们的目标是通过提供一个彻底的分析背景和结果的问题和反例。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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