On a classical problem of the calculus of variations without convexity assumptions
A. Cellina
S.I.S.S.A., I.S.A.S., Strada Costiera 11, 34014 Trieste, ItalyG. Colombo
S.I.S.S.A., I.S.A.S., Strada Costiera 11, 34014 Trieste, Italy
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Abstract
We show that the functional
attains a minimum under the condition that be concave in .
Résumé
Nous montrons que le fonctionnel
atteint le minimum sous la condition de concavité sur .
Cite this article
A. Cellina, G. Colombo, On a classical problem of the calculus of variations without convexity assumptions. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), no. 2, pp. 97–106
DOI 10.1016/S0294-1449(16)30306-7