On the local structure of the Euler-Lagrange mapping of the calculus of variations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The purpose of this paper is to announce some new results on the structure of the higher order Euler-Lagrange mapping of the multiple-integral variational calculus on fibered manifolds,namely a description of its kernel and its image,and an explicit characterization of the conditions under which a system of partial differential equations (of arbitrary order)is a system of the Euler--Lagrange equations.
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Cite
@article{arxiv.math-ph/0203034,
title = {On the local structure of the Euler-Lagrange mapping of the calculus of variations},
author = {Demeter Krupka},
journal= {arXiv preprint arXiv:math-ph/0203034},
year = {2007}
}
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6 pages