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 by M. D. Voisei, Voisei, M. D., Constantin Zălinescu +1
Computer Science · Mathematics · #49N99 #90C20 #90C26 #Advanced Optimization Algorithms Research #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1101.3534

openalex publication_date 2011/01/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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