1 citations · 2 across the 30 of their papers we have counts for
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A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context
Fabio Botelho
This article develops a variational formulation of relativistic nature applicable to the quantum mechanics context. The main results are obtained through basic concepts on Riemanni…
On central fields in the calculus of variations
Fabio Botelho
This article develops sufficient conditions of local optimality for the scalar and vectorial cases of the calculus of variations. The results are established through the constructi…
On General Duality Principles for Non-Convex Variational Optimization with Applications to the Ginzburg-Landau System in Superconductivity
Fabio Botelho
This article develops duality principles applicable to non-convex models in the calculus of variations. The results here developed are applied to Ginzburg-Landau type equations. Fo…
On duality principles for non-convex variational models applied to a Ginzburg-Landau type equation
Fabio Botelho
This article develops a duality principle applicable to a large class of variational problems. Firstly, we apply the results to a Ginzburg-Landau type model. In a second step, we d…