University of Hradec Králové and Lepage Research Institute
Abstract: Simple examples of variational functionals on Grassmann fibrations are analysed on the basis of the Hilbert form. The Lagrange, Euler-Lagrange, and Noether classes, characterizing the functionals, their extremals and invariance properties are discussed. The relationship of equations for extremals and conservation law equations is established; in the examples the system of Euler-Lagrange equations turns out to be equivalent with the system of conservation law equations.
Classification (MSC2000): 58E30; 58D19, 53C40, 58A20
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