A convex primal dual variational formulation through a D.C. approach suitable for a large class of originally non-convex primal ones

A convex primal dual variational formulation through a D.C. approach suitable for a large class of originally non-convex primal ones | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 30 October 2025 V1 Latest version Share on A convex primal dual variational formulation through a D.C. approach suitable for a large class of originally non-convex primal ones Authors : Fabio Botelho 0000-0002-3890-8263 [email protected] and Fabio Silva Botelho Authors Info & Affiliations https://doi.org/10.22541/au.176184121.19579866/v1 187 views 86 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This article develops a convex primal dual formulation through a D.C. approach applicable to a large class of originally non-convex primal variational formulations. The results are obtained through basic tools of functional analysis, calculus of variations, duality and optimization theory in infinite dimensional spaces. Supplementary Material File (dual-100-lg-october-2025.pdf) Download 203.16 KB Information & Authors Information Version history V1 Version 1 30 October 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords calculus of variations. msc: 49n15 convex primal dual formulation d.c. approach duality principle non-convex primal formulation Authors Affiliations Fabio Botelho 0000-0002-3890-8263 [email protected] View all articles by this author Fabio Silva Botelho Department of Mathematics, Federal University of Santa Catarina, UFSC Florianópolis View all articles by this author Metrics & Citations Metrics Article Usage 187 views 86 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Fabio Botelho, Fabio Silva Botelho. A convex primal dual variational formulation through a D.C. approach suitable for a large class of originally non-convex primal ones. Authorea . 30 October 2025. DOI: https://doi.org/10.22541/au.176184121.19579866/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 . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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