A convex Darboux theorem
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 25 (1997) no. 1-2, pp. 287-297.
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     author = {Chiappori, Pierre-Andr\'e and Ekeland, Ivar},
     title = {A convex {Darboux} theorem},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {287--297},
     publisher = {Scuola normale superiore},
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     zbl = {1004.58501},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1997_4_25_1-2_287_0/}
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Chiappori, Pierre-André; Ekeland, Ivar. A convex Darboux theorem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 25 (1997) no. 1-2, pp. 287-297. http://www.numdam.org/item/ASNSP_1997_4_25_1-2_287_0/

[1] V. Arnold, Méthodes mathématiques de la mécanique classique, Mir, 1968 English translation, Springer, 1978. | MR | Zbl

[2] R. Bryant - S. Chern - R. Gardner - H. Goldschmidt - P. Griffiths, Exterior Differential Systems, MSRI Publications Vol. 18, Springer-Verlag, 1991. | MR | Zbl

[3] E. Cartan, Les systèmes différentiels extérieurs et leurs applications géométriques, Hermann, 1945. | MR | Zbl

[4] P.A. Chiappori - I. Ekeland, Problèmes d'agrègation en théorie du consommateur et calcul différentiel extèrieur, CRAS Paris 323 (1996), 565-570. | MR | Zbl

[5] P.A. Chiappori - I. Ekeland, Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint, to appear, Econometrica. | MR | Zbl

[6] P.A. Chiappori - I. Ekeland, Restrictions on the Equilibrium Manifold: The Differential Approach, to appear.

[7] P.A. Chiappori - I. Ekeland, Collective Demand in Incomplete Markets, to appear.

[8] J. CHIPMAN - L. HURWICZ - M. RICHTER - H. SONNENSCHEIN (Editor), Preferences, Utility and Demand, Harcourt Brace Jovanovic, 1971. | MR | Zbl

[9] P. Hartman, Ordinary Differential Equations, Wiley, 1964. | MR | Zbl

[10] P. Hartman, Frobenius theorem under Caratheodory type conditions, Journal of Differential Equations 7 (1970), 307-333. | MR | Zbl

[11] V.M. Zakaljukin, personal communication, January 1997.