Fabio Silva Botelho

You are already at the latest version 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.

Submitted: 15 November 2025 You are already at the latest version Subscription Notify me about updates to this article or when a peer-reviewed version is published. This version is not peer-reviewed. Submitted: 15 November 2025 You are already at the latest version This short communication develops a formal proof of Castilgiano Theorem in a elasticity context. The results are base on standard tools of applied functional analysis and calculus of variations.

This version is not peer-reviewed. This version is not peer-reviewed. This short communication develops a formal proof of Castilgiano Theorem in a elasticity context. The results are base on standard tools of applied functional analysis and calculus of variations. It is worth mentioning such results here presented may be easily extended to a non-linear elasticity context. Finally, in the last section we present a numerical example in order to illustrate the results applicability.