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MR1895208 37J05 (37J30 49N45 70H03 70H30)
Sarlet, W.; Thompson, G.; Prince, G. E. The inverse problem of the calculus of variations: the use of geometrical calculus in Douglas's analysis. Trans. Amer. Math. Soc. 354 (2002), no. 7, 2897–2919.
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