Interchange of infimum and integral

Calculus of Variations and Partial Differential Equations

Volumn 18, Issue 4, 2003, Pages 433-449

  Hafsa, Omar Anza ^a   Mandallena, Jean Philippe ^b  

^a UNIV MONTPELLIER   (France)

^b NONE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347622551     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-003-0211-3     Document Type: Article

References (10)

1. Bouchitté, G., Buttazzo, G., Seppecher, P.: Energies with respect to a measure and applications to low dimensional structures. Cale. Var. 5, 37-54 (1997)
2. Bouchitté, G., Valadier, M.: Integral representation of convex functionals on a space of measures. J. Funct. Anal. 80, 398-420 (1988)
3. Hiai, F., Umegaki, H.: Integrals, conditional expectations, and martingales of multivalued functions. J. Multivariate Anal. 7, 149-182 (1977)
4. Mandallena, J.-P.: On the relaxation of nonconvex superficial integral functionals. J. Math. Pures et Appl. 79, 1011-1028 (2000)
5. Mandallena, J.-P.: Quasiconvexification of geometric integrals. Submitted
6. Michael, E.: Continuous selections. I. Annals of Mathematics 63, 361-382 (1956)
7. Rockafellar, R.T.: Integrals which are convex functionals. Pacific J. Math. 24, 525-539 (1968)
8. Rockafellar, R.T.: Integral functionals, normal integrands and measurable selections. Lecture Notes in Mathematics 543, 157-207 (1976)
9. Valadier, M.: Multi-applications mesurables à valeurs convexes compactes. J. Math. Pures et Appl. 50, 265-297 (1971)
10. Valadier, M.: Quelques propriétés de l'ensemble des sections continues d'une multifunction s.c.i. Sém. Anal. Convexe (Université de Montpellier) 16, exposé n°7 (1986)