On central fields in the calculus of variations

2018/09/17 by Fabio Botelho, Botelho, Fabio
Mathematics · #49K20 #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:49K20

paper · pdf · doi:10.48550/arxiv.1809.09575

12 pages, typos corrected

arxiv created 2018/09/17 · arxiv updated 2018/09/26

Abstract

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 construction of stationary fields which keep invariant what we define as the generalized Hilbert integral.

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