1 citations · 2 across the 30 of their papers we have counts for
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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…
On Lagrange multiplier theorems for non-smooth optimization for a large class of variational models in Banach spaces
Fabio Silva Botelho
This article develops optimality conditions for a large class of non-smooth variational models. The main results are based on standard tools of functional analysis and calculus of…
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…
Optimal control for the nonlinear Fisher-Kolmogorov system with applications to aquatic plant management
Alexandre Molter, Fabio Silva Botelho
Spatiotemporal dynamics of populations may be described by the reaction-diffusion Fisher-Kolmogorov model. In this work we have proposed a new formulation for a control problem of…
A general variational formulation for relativistic mechanics based on fundamentals of differential geometry
Fabio Botelho
The first part of this article develops a variational formulation for relativistic mechanics. The results are established through standard tools of variational analysis and differe…