For the classical problem of the calculus of variations in the autonomous case, the existence of Lipschitzian solutions was proved. A result on the regularity of solutions to autonomous minimum problems, under conditions of superlinear growth was established. The growth assumption was expressed in terms of the polar of the Lagrangean with respect to ζ. The results were applied to different classes of Lagrangeans, that could be extended valued and either convex or differentiable in ζ.

Cellina, A., & Ferriero, A. (2003). Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 20(6), 911-919 [10.1016/S0294-1449(03)00010-6].

Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case

Cellina, A;Ferriero, A
2003

Abstract

For the classical problem of the calculus of variations in the autonomous case, the existence of Lipschitzian solutions was proved. A result on the regularity of solutions to autonomous minimum problems, under conditions of superlinear growth was established. The growth assumption was expressed in terms of the polar of the Lagrangean with respect to ζ. The results were applied to different classes of Lagrangeans, that could be extended valued and either convex or differentiable in ζ.
No
Articolo in rivista - Articolo scientifico
Scientifica
Calculus of variations; Existence and Lipschitzianity of solutions; Functional integral
English
911
919
9
Cellina, A., & Ferriero, A. (2003). Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 20(6), 911-919 [10.1016/S0294-1449(03)00010-6].
Cellina, A; Ferriero, A
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/19682
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