General second order conditions for extrema of functionals

2010/08/07 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, Pascal Dkengne Sielenou +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1008.1332

arxiv created 2010/08/07 · arxiv updated 2010/08/10

Abstract

We prove both necessary and sufficient second order conditions of extrema for variational problems involving any higher order continuously twice differentiable Lagrangians with multi-valued dependent functions of several variables. Our analysis is performed in the framework of the finite dimensional total jet space.

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