On Ten Duality Principles and Related Convex Dual Formulations Through a D.C. Approach for Non-Convex Optimization

2025 · doi:10.22541/au.175795686.62118018/v1
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Abstract

This article develops duality principles and respective convex dual formulations through a D.C. approach applicable to some originally non-convex primal variational formulations. More specifically, in a first step, we develop applications to a Ginzburg-Landau type equation. The results are obtained through basic tools of functional analysis, calculus of variations, duality and optimization theory in infinite dimensional spaces. It is worth emphasizing we have obtained a convex dual variational formulation suitable for a large class of similar models in the calculus of variations. Supplementary Material File (dual-100-8-lg-september-2025.pdf) - Download - 328.53 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

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Authors Metrics & Citations Metrics Article Usage 370views 96downloads Citations Download citation Fabio Botelho, Fabio Silva Botelho. On Ten Duality Principles and Related Convex Dual Formulations Through a D.C. Approach for Non-Convex Optimization. Authorea. 15 September 2025. DOI: https://doi.org/10.22541/au.175795686.62118018/v1 DOI: https://doi.org/10.22541/au.175795686.62118018/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.

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