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Integral formulae associated with non-parameter-invariant multiple integral problems of arbitrary order in the calculus of variations. (English) Zbl 0459.49032

MSC:

49Q99 Manifolds and measure-geometric topics
58A15 Exterior differential systems (Cartan theory)
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References:

[1] Grässer, H. S. P.,On the transversality condition for multiple integral second order problems. Joint Math. Coll. Univ. South Africa and Univ. Witwatersrand 1968/1969 (1969), 111–143.
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[4] Lovelock, D.,The Euler-Lagrange expression and degenerate Lagrange densities. J. Austral. Math. Soc.14 (1972), 482–495. · Zbl 0252.49029 · doi:10.1017/S1446788700011125
[5] Rund, H.,The Hamilton-Jacobi theory in the calculus of variations: its role in mathematics and physics (D. Van Nostrand, London and New York, 1966), revised and augmented reprint, Krieger, Huntington, New York, 1973. · Zbl 0141.10602
[6] Rund, H.,Integral formulae associated with the Euler-Lagrange operators of multiple integral problems in the calculus of variations. Aequationes Math.11 (1972), 212–229. · Zbl 0293.49001 · doi:10.1007/BF01834920
[7] Synge, J. L. andSchild, A.,Tensor calculus. University of Toronto Press, Toronto, 1949. · Zbl 0038.32301
[8] Venter, S.,The null set of the Euler-Lagrange operator of second order multiple integral variational problems. Ph.D. Thesis, University of South Africa, Pretoria, 1975.
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