24 papers
An approximate proximal numerical procedure concerning the generalized method of lines
Fabio Silva Botelho
This article develops an approximate proximal approach for the generalized method of lines. The present results are extensions and applications of previous ones which have been pub…
A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates
Fabio Silva Botelho
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…
A primal dual formulation through a proximal approach for non-convex variational optimization
Fabio Silva Botelho
This article develops a primal dual formulation for a primal proximal approach suitable for a large class of non-convex models in the calculus of variations. The results are establ…
A note on the Korn inequality in a n-dimensional context
Fabio Silva Botelho
In this short communication, we present a new proof for the Korn inequality in a n-dimensional context. The results are based on standard tools of real and functional analysis. For…
On duality principles for non-convex optimization with applications to superconductivity and some existence results for a model in non-linear elasticity
Fabio Silva Botelho
This article develops duality principles applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, fun…
A generalization of the Ekeland variational principle
Fabio Silva Botelho
In this short communication, we present a generalization of the Ekeland variational principle. The main result is established through standard tools of functional analysis and calc…