General second order conditions for extrema of functionals
Analysis of PDEs
2010-08-10 v1
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.
Cite
@article{arxiv.1008.1332,
title = {General second order conditions for extrema of functionals},
author = {Mahouton Norbert Hounkonnou and Pascal Dkengne Sielenou},
journal= {arXiv preprint arXiv:1008.1332},
year = {2010}
}