Geodesic
The Euler Lagrange Equation and the Pontriagin Maximum Principle
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 2, pp. 323-347
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We consider the necessary conditions in the Calculus of Variations, expressed by the validity of the Euler Lagrange equation, or of the Pontriagin Maximum Principle; in particular, problems on multi-dimensional domanis are considered. 
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     author = {Cellina, Arrigo},
     title = {The {Euler} {Lagrange} {Equation} and the {Pontriagin} {Maximum} {Principle}},
     journal = {Bollettino della Unione matematica italiana},
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Cellina, Arrigo. The Euler Lagrange Equation and the Pontriagin Maximum Principle. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 2, pp. 323-347. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_2_a2/