Identification of the dual cone of convex functions and applications;Identification du cône dual des fonctions convexes et applications

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 12, 1998, Pages 1385-1390

  Lions, Pierre Louis ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032089246     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)80397-2     Document Type: Article

References (7)

1. [1] Brenier Y., Polar factorization and monotone rearrangement of vector-valued functions, Commun. Pure Appl. Math. XLIV (1991) 375-417.
2. [2] Butazzo G., Ferone V., Kawohl B., Minimum problems over sets of concave functions and related questions, Math. Nachrichten 173 (1993) 71-89.
3. [3] Ekeland I., Temam R., Analyse convexe et problèmes variationnels, Dunod-Gauthier-Villars, Paris, 1974.
4. [4] Lachand-Robert Th., Peltier M.A., Minimisation de fonctionnelles dans un ensemble de fonctions convexes, C. R. Acad. Sci. Paris 325 (1997) 851-855.
5. [5] Rochet J.-C., Choné P., Ironing, sweeping and multidimensional screening, à paraître dans Economica.
6. [6] Rockafellar R.T., Convex Analysis, Princeton University Press, Princeton, 1970.
7. [7] Zarantonello E.H., Projections on convex sets in Hilbert spaces and spectral theory, In: Contributions to Nonlinear Functional Analysis, Academic Press, New York, 1971.