@article{AIHPC_1992__9_1_101_0, author = {Bouchitte, Guy and Buttazzo, Giuseppe}, title = {Integral representation of nonconvex functionals defined on measures}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {9}, year = {1992}, pages = {101-117}, mrnumber = {1151468}, zbl = {0757.49012}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1992__9_1_101_0} }
Bouchitté, G.; Buttazzo, G. Integral representation of nonconvex functionals defined on measures. Annales de l'I.H.P. Analyse non linéaire, Tome 9 (1992) pp. 101-117. http://gdmltest.u-ga.fr/item/AIHPC_1992__9_1_101_0/
[1] Weak lower semicontinuous envelope of functionals defined on a space of measures. Ann. Mat. Pura Appl., Vol. 150, 1988, pp. 311-340. | Zbl 0648.49009
& ,[2] Représentation intégrale de fonctionnelles convexes sur un espace de mesures. Ann. Univ. Ferrara, Vol. 33, 1987, pp. 113-156. | MR 958390 | Zbl 0721.49041
,[3] New lower semicontinuity results for non convex functionals defined on measures. Nonlinear Anal., Vol. 15, 7, 1990, pp. 679-692. | Zbl 0736.49007
& ,[4] Integral representation of convex functionals on a space of measures. J. Funct. Anal., Vol. 80, 1988, pp. 398-420. | Zbl 0662.46009
& ,[5] Multifonctions s.c.i. et régularisée s.c.i. essentielle. Proceedings "Congrès Franco-Québécois d'Analyse Non linéaire Appliquée", Perpignan, June 22-26, 1987, in "Analyse Non linéaire - Contribution en l'Honneur de J. J. Moreau", Bordas, Paris, 1989, pp. 123-149. | Numdam | Zbl 0704.49017
& ,[6] Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations. Pitman Res. Notes Math. Ser., Vol. 207, Longman, Harlow, 1989. | MR 1020296 | Zbl 0669.49005
,[7] On Nemyckii operators and integral representation of local functionals. Rend. Mat., Vol. 3, 1983, pp. 491-509. | Zbl 0536.47027
& ,[8] Integral representation and relaxation for functionals defined on measures. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., Vol. 81, 1987, pp. 7-13. | MR 1000018 | Zbl 0713.49018
, & ,[9] Convex functions of measures and applications. Indiana Univ. Math. J., 33, 1984, pp. 673-709. | MR 756154 | Zbl 0581.46036
& ,[10] Linear Operators. Interscience Publishers Inc., New York, 1957. | Zbl 0084.10402
& ,[11] Sublinear functions of measures and variational integrals. Duke Math. J., Vol. 31, 1964, pp. 159-178. | Zbl 0123.09804
& ,[12] Representation of additive functionals on vector valued normed Köthe spaces. Kodai Math. J., Vol. 2, 1979, pp. 300-313. | MR 553237 | Zbl 0431.46025
,[13] On lower semicontinuity of integral functionals I. II. SIAM J. Control Optim., Vol. 15, 1977, pp. 521-538 nd 991-1000. | MR 637234 | Zbl 0361.46037
,[14] Integrals which are convex functionals I. II. Pacific J. Math., Vol. 24, 1968, pp. 525-539 and Vol. 39, 1971, pp. 439-469. | MR 236689 | Zbl 0159.43804
,[15] Convex Analysis . Princeton University Press, Princeton, 1972. | MR 1451876 | Zbl 0193.18401
,[16] Closedness in the weak topology of the dual pair L1, C. J. Math. Anal. Appli., Vol. 69, 1979, pp. 17-34. | MR 535279 | Zbl 0412.46040
,