On the lower semicontinuity of certain integral functionals

 Access to full text

 Full (PDF)

 Full (DjVu)

1. Castaing, C. and Valadier, M. (1977) - Convex analysis and measurable multifunctions. «Lecture Notes in Math.», 580, Springer-Verlag, Berlin. Zbl0346.46038MR467310
2. Cesari, L. (1974) - Lower semicontinuity and lower closure theorems without seminormality conditions. «Ann. Mat. Pura Appl.», 98, 382-397. Zbl0281.49006MR344966
3. De La Vallee Poussin, C.J. (1915) - Sur l'integrale de Lebesgue. «Trans. Amer. Math. Soc.», 16, 435-501. Zbl45.0441.06MR1501024DOI10.2307/1988879
4. Ekeland, I. and Temam, R. (1978) - Convex analysis and variational problems. North-Holland, Amsterdam. Zbl0939.49002MR569206
5. Ferro, F. (1981) - Lower semicontinuity, optimization and regularizing extensions of integral functionals. «SIAM J. Control Optim.», 19, 433-444. Zbl0473.49009MR618236DOI10.1137/0319025
6. Marcus, M. and Mizel, V.J. (1972) - Absolute continuity on tracks and mappings of Sobolev spaces. «Arch. Rational. Mech. Anal.», 45, 294-320. Zbl0236.46033MR338765
7. Morrey, C.B. (1966) - Multiple integrals in the Calculus of Variations. Springer-Verlag, Berlin. Zbl0142.38701MR202511
8. Olech, C. (1976) - Weak lower semicontinuity of integral functionals. «J. Optimization Theory Appl.», 19, 3-16. Zbl0305.49019MR428161
9. Serrin, J. (1961) - On the definition and properties of certain variational integrals. «Trans. Amer. Math. Soc.», 101, 139-167. Zbl0102.04601MR138018
10. Serrin, J. and Varberg, D.E. (1969) - A general chain rule for derivatives and the change of variables formula for the Lebesgue integral. «Amer. Math. Monthly», 16, 514-520. Zbl0175.34401MR247011

1. Luigi Ambrosio, Nuovi risultati sulla semicontinuità inferiore di certi funzionali integrali