no. 6
Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case
Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 20 (2003) no. 6, pp. 911-919 
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     author = {Cellina, A. and Ferriero, A.},
     title = {Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case},
     journal = {Annales de l'Institut Henri Poincar\'e. C, Analyse non lin\'eaire},
     pages = {911--919},
     year = {2003},
     publisher = {Elsevier},
     volume = {20},
     number = {6},
     doi = {10.1016/S0294-1449(03)00010-6},
     mrnumber = {2008683},
     zbl = {1030.49039},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/S0294-1449(03)00010-6/}
}
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Cellina, A.; Ferriero, A. Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 20 (2003) no. 6, pp. 911-919. doi: 10.1016/S0294-1449(03)00010-6

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[5] Clarke F.H., Vinter R.B., Regularity properties of solutions to the basic problem in the calculus of variations, Trans. Amer. Math. Soc. 289 (1985) 73-98. | Zbl | MR

[6] Ekeland I., Temam R., Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976. | Zbl | MR

[7] Serrin J., Varberg D.E., A general chain rule for derivatives and the change of variable formula for the Lebesgue integral, Amer. Math. Monthly 76 (1969) 514-520. | Zbl | MR

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