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Théorèmes d’existence en optimisation non convexe. (French) Zbl 0522.49002


MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
49N15 Duality theory (optimization)
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References:

[1] Aubert G., J. Differential Equations 33 pp 1– (1979)
[2] Aubert G., Boll, tin. Mat. Ital 5 pp 17– (1980)
[3] Ekeland E., Analyse convexe et problernes variation-nels (1974)
[4] Ekeland E., Existence theorems for non convex problems · Zbl 1220.15012
[5] Raymond, These cie 3e Cycle (1982)
[6] Marcellini P., A relation between existence of mioima for non convex integrals and uniqueness fornon strictly convex integrals of the calculus of variations (1982)
[7] Gurtin M., J. Elasticity 11 pp 2– (1981) · Zbl 0496.73036
[8] Ball J.M, Arch. Rational Mech. Anal 63 (1977)
[9] Ollech C., Integrals of set valued functions and linear optimal control problems (1970)
[10] Stampacchia C., Presses de 1’Université de Montré 63 (1966)
[11] Tartar J., Cours Universite du Wisconsin (1975)
[12] Tahraoui R., Theoremes d’existence en calcul des variations et application á 1’élasticité non linéaire, á
[13] Ancona A., communication personnelle
[14] Temam, R. 1977. ”Navier-Stokes Equations”. Amsterdam, New-York: North-Holland Publishing Company. · Zbl 0383.35057
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