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math.OC2018
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…
math.OC2018
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…
math.OC2018
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…