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Duality Principles and Numerical Procedures for a Large Class of Non-Convex Models in the Calculus of Variations

by Fabio Silva Botelho

Posted: July 22, 2025
Server: Preprints.org
DOI: 10.20944/preprints202302.0051.v97

This article develops duality principles and numerical results for a large class of non-convex variational models. The main results are based on fundamental tools of convex analysis, duality theory and calculus of variations. More specifically the approach is established for a class of non-convex functionals similar as those found in some models in phase transition. Finally, in some sections we present concerning numerical examples and the respective softwares.

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