| Affiliation: | (1) Département de Mathématiques, Laboratoire ACSIOM, Université Montpellier II, Place Eugéne Bataillon, 34090 Montpellier, France;(2) Private address, 201, avenue de la Justice de Castelnau, 34090 Montpellier, France |
| Abstract: | We prove a new interchange theorem of infimum and integral. Its distinguishing feature is, on the one hand, to establish a general framework to deal with interchange problems for nonconvex integrands and nondecomposable sets, and, on the other hand, to link the theorems of Rockafellar and Hiai-Umegaki with the one of Bouchitté-Valadier. We give an application to relaxation of nonconvex geometric integrals of Calculus of Variations.Received: 20 March 2002, Accepted: 12 March 2003, Published online: 16 May 2003 |
