A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates

Fabio Silva Botelho

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arXiv · 2109.01662

A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates

Fabio Silva Botelho

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Abstract

This article develops duality principles applicable to the non-linear Kirchhoff-Love model of plates. The results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory. The main duality principle concerns a convex (in fact concave) dual variational formulation and related new optimality conditions for the model in question. Finally, in the last section we develop some global existence results for a similar model in elasticity.

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BibTeX RIS

Fabio Silva Botelho. 2021-09-04. A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates. https://arxiv.org/abs/2109.01662

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