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On Newton’s problem of minimal resistance. (English) Zbl 0800.49038


MSC:

49J40 Variational inequalities
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[1] Botteron, B.; Marcellini, P., A general approach to the existence of minimizers of one-dimensional noncoercive integrals of the calculus of variations, Ann. Inst. H. Poincaré Analyse Non Linéaire, 8, 197-223 (1991) · Zbl 0729.49002
[2] G. Buttazzo, V. Ferone and B. Kawohl, in preparation.
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[5] Hayes, W. D.; Probstein, R. F., Hypersonic Flow Theory (1966), New York: Academic Press, New York · Zbl 0148.21502
[6] Kawohl, B., Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Mathematics No. 1150 (1985), Heidelberg: Springer-Verlag, Heidelberg · Zbl 0593.35002
[7] Kneser, A., Ein Beitrag zur Frage nach der zweckmäβigsten Gestalt der Geschoβspitzen, Arch. Math. Phys., 2, 267-278 (1902) · JFM 33.0387.01
[8] Marcellini, P.; Cellina, A., Nonconvex Integrals of the Calculus of Variations, Proceedings of Methods of Nonconvex Analysis, Lecture Notes in Mathematics No. 1446, 16-57 (1990), Heidelberg: Springer-Verlag, Heidelberg · Zbl 0735.49002
[9] Miele, A., Theory of Optimum Aerodynamic Shapes (1965), New York: Academic Press, New York · Zbl 0265.76076
[10] I. Newton,Philosophiae Naturalis Principia Mathematica (1686). · Zbl 0050.00201
[11] Parma, S., Problemi di minimo su spazi di funzioni convesse, Tesi di Laurea (1991), Ferrara: Università di Ferrara, Ferrara
[12] Tonelli, L., Fondamenti di Calcolo dette Variazioni (1923), Bologna: Zanichelli, Bologna · JFM 49.0348.05
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