On the lower semicontinuity of certain integral functionals

Ennio De Giorgi; Giuseppe Buttazzo; Gianni Dal Maso

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1983)

  • Volume: 74, Issue: 5, page 274-282
  • ISSN: 0392-7881

How to cite

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De 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

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  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. MR1501024DOI10.2307/1988879
  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. MR428161
  9. Serrin, J. (1961) - On the definition and properties of certain variational integrals. «Trans. Amer. Math. Soc.», 101, 139-167. MR138018
  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

Citations in EuDML Documents

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  1. Luigi Ambrosio, Nuovi risultati sulla semicontinuità inferiore di certi funzionali integrali
  2. Daniele Graziani, A New L 1 -Lower Semicontinuity Result
  3. Michele Carriero, Antonio Leaci, Eduardo Pascali, Integrals with respect to a Radon measure added to area type functionals: semi-continuity and relaxation
  4. Giovanni Cupini, Cristina Marcelli, Monotonicity properties of minimizers and relaxation for autonomous variational problems
  5. Michele Gori, Francesco Maggi, On the Lower Semicontinuity of Supremal Functionals
  6. Giovanni Leoni, On lower semicontinuity in the calculus of variations
  7. L. Ambrosio, G. Dal Maso, M. Forti, M. Miranda, S. Spagnolo, Ennio De Giorgi

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