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On the local structure of the Euler-Lagrange mapping of the calculus of variations

2002/03/18 by Demeter Krupka
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as Proc. Conf. Diff. Geom. Appl. (Univerzita Karlova, Prague,1981) 181--188 · 6 pages

arxiv created 2002/03/18 · arxiv updated 2009/11/30

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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