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

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 20, Issue 6, 2003, Pages 911-919

  Cellina, A ^a   Ferriero, A ^a  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

Calculus of variations; Existence and Lipschitzianity of solutions

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; INTEGRAL EQUATIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

CONTINUOUS FUNCTIONS; LINEAR GROWTH;

VARIATIONAL TECHNIQUES;

EID: 0347354935     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(03)00010-6     Document Type: Article

References (7)

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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.
6. Ekeland I., Temam R. Convex Analysis and Variational Problems. 1976;North-Holland, Amsterdam.
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.