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Théoremes d’existence pour des problèmes du calcul des variations du type: \(\text{Inf}\int^L_0f(x,u'(x))dx\) et \(\text{Inf} \int^L_0f(x,u(x),u'(x))dx\). (French) Zbl 0404.49001


MSC:

49J05 Existence theories for free problems in one independent variable

Citations:

Zbl 0378.49001
Full Text: DOI

References:

[1] G. Aubert et R. Tahraoui; G. Aubert et R. Tahraoui · Zbl 0435.49001
[2] Ekeland, I.; Temam, R., Analyse convexe et Problèmes variationels (1976), Dunod-Gauthier-Villars: Dunod-Gauthier-Villars Paris
[3] Ekeland, I., Duality in non convex optimization and calculus of variations, Report, University of Wisconsin (1976)
[4] J. F. Tolland; J. F. Tolland
[5] Stampacchia, G., Equations elliptiques du second ordre à coefficients discontinus (1966), Presses de l’Université de Montréal: Presses de l’Université de Montréal Montréal · Zbl 0151.15501
[6] Tartar, L., Cours université de Wisconsin (1975)
[7] Aubert, G.; Tahraoui, R., C. R. Acad. Sci. Paris Sér. A, 285, 355-356 (1977) · Zbl 0362.49003
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