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Integral Formulae Associated with the Euler-Lagrange Operators of Multiple Integral Problems in the Calculus of Variations. (Short Communication).

Hanno Rund (1974)

Aequationes mathematicae

Integral Formulae Associated with the Euler-Lagrange Operators of Multiple Integral Problems in the Calculus of Variations.

Hanno Rund (1974)

Aequationes mathematicae

Internal waves in fluids with rapidly varying density

R. E. L. Turner (1981)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Invariant variational problems on principal bundles and conservation laws

Ján Brajerčík (2011)

Archivum Mathematicum

In this work, we consider variational problems defined by $G$ -invariant Lagrangians on the $r$ -jet prolongation of a principal bundle $P$ , where $G$ is the structure group of $P$ . These problems can be also considered as defined on the associated bundle of the $r$ -th order connections. The correspondence between the Euler-Lagrange equations for these variational problems and conservation laws is discussed.