On the lower semicontinuity of certain integral functionals
Ennio De Giorgi; Giuseppe Buttazzo; Gianni Dal Maso
- Volume: 74, Issue: 5, page 274-282
- ISSN: 0392-7881
Access Full Article
topAbstract
topHow to cite
topDe Giorgi, Ennio, Buttazzo, Giuseppe, and Dal Maso, Gianni. "On the lower semicontinuity of certain integral functionals." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 74.5 (1983): 274-282. <http://eudml.org/doc/289341>.
@article{DeGiorgi1983,
author = {De Giorgi, Ennio, Buttazzo, Giuseppe, Dal Maso, Gianni},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {5},
number = {5},
pages = {274-282},
publisher = {Accademia Nazionale dei Lincei},
title = {On the lower semicontinuity of certain integral functionals},
url = {http://eudml.org/doc/289341},
volume = {74},
year = {1983},
}
TY - JOUR
AU - De Giorgi, Ennio
AU - Buttazzo, Giuseppe
AU - Dal Maso, Gianni
TI - On the lower semicontinuity of certain integral functionals
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1983/5//
PB - Accademia Nazionale dei Lincei
VL - 74
IS - 5
SP - 274
EP - 282
LA - eng
UR - http://eudml.org/doc/289341
ER -
References
top- Castaing, C. and Valadier, M. (1977) - Convex analysis and measurable multifunctions. «Lecture Notes in Math.», 580, Springer-Verlag, Berlin. Zbl0346.46038MR467310
- Cesari, L. (1974) - Lower semicontinuity and lower closure theorems without seminormality conditions. «Ann. Mat. Pura Appl.», 98, 382-397. Zbl0281.49006MR344966
- De La Vallee Poussin, C.J. (1915) - Sur l'integrale de Lebesgue. «Trans. Amer. Math. Soc.», 16, 435-501. MR1501024DOI10.2307/1988879
- Ekeland, I. and Temam, R. (1978) - Convex analysis and variational problems. North-Holland, Amsterdam. Zbl0939.49002MR569206
- Ferro, F. (1981) - Lower semicontinuity, optimization and regularizing extensions of integral functionals. «SIAM J. Control Optim.», 19, 433-444. Zbl0473.49009MR618236DOI10.1137/0319025
- 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
- Morrey, C.B. (1966) - Multiple integrals in the Calculus of Variations. Springer-Verlag, Berlin. Zbl0142.38701MR202511
- Olech, C. (1976) - Weak lower semicontinuity of integral functionals. «J. Optimization Theory Appl.», 19, 3-16. MR428161
- Serrin, J. (1961) - On the definition and properties of certain variational integrals. «Trans. Amer. Math. Soc.», 101, 139-167. MR138018
- 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
Citations in EuDML Documents
top- Luigi Ambrosio, Nuovi risultati sulla semicontinuità inferiore di certi funzionali integrali
- Daniele Graziani, A New -Lower Semicontinuity Result
- Michele Carriero, Antonio Leaci, Eduardo Pascali, Integrals with respect to a Radon measure added to area type functionals: semi-continuity and relaxation
- Giovanni Cupini, Cristina Marcelli, Monotonicity properties of minimizers and relaxation for autonomous variational problems
- Michele Gori, Francesco Maggi, On the Lower Semicontinuity of Supremal Functionals
- Giovanni Leoni, On lower semicontinuity in the calculus of variations
- L. Ambrosio, G. Dal Maso, M. Forti, M. Miranda, S. Spagnolo, Ennio De Giorgi
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.