Quasi-convexité et semi-continuité inférieure faible des fonctionnelles non linéaires

B. Dacorogna

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1982)

  • Volume: 9, Issue: 4, page 627-644
  • ISSN: 0391-173X

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Dacorogna, B.. "Quasi-convexité et semi-continuité inférieure faible des fonctionnelles non linéaires." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 9.4 (1982): 627-644. <http://eudml.org/doc/83893>.

@article{Dacorogna1982,
author = {Dacorogna, B.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {fre},
number = {4},
pages = {627-644},
publisher = {Scuola normale superiore},
title = {Quasi-convexité et semi-continuité inférieure faible des fonctionnelles non linéaires},
url = {http://eudml.org/doc/83893},
volume = {9},
year = {1982},
}

TY - JOUR
AU - Dacorogna, B.
TI - Quasi-convexité et semi-continuité inférieure faible des fonctionnelles non linéaires
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1982
PB - Scuola normale superiore
VL - 9
IS - 4
SP - 627
EP - 644
LA - fre
UR - http://eudml.org/doc/83893
ER -

References

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  3. [Ba1] J.M. Ball, Convexity conditions and existence theorems in non-linear elasticity, Arch. Rational Mech. Anal., 63 (1977), pp. 337-403. Zbl0368.73040MR475169
  4. [Da1] B. Dacorogna, A generic result for nonconvex problems in the calculus of variations, J. Functional Analysis, 46 (1982), pp. 102-118. Zbl0547.49003
  5. [Da2] B. Dacorogna, Weak continuity and weak lower semicontinuity of non-linear functionals, Lecture Notes in Math., Springer Verlag, vol. 922 (1982). Zbl0484.46041MR658130
  6. [Ha1] J. Hadamard, Leçons sur la propagation des ondes et les équations de l'hydrodynamique, Hermann, Paris (1903). Zbl34.0793.06JFM34.0793.06
  7. [Ha2] J. Hadamard, Sur quelques questions du calcul des variations, Bull. Soc. Math. France, 33 (1905), pp. 73-80. MR1504505JFM36.0430.02
  8. [Ka1] T. Kato, On a coerciveness theorem by Schulenberger and Wilcox, Indiana Univ. Math. J., 24 (1975), pp. 979-985. Zbl0313.47003MR370244
  9. [Mo1] C.B. Morrey, Quasiconvexity and the lower semicontinuity o f multiple integrals, Pacific J. Math., 2 (1952), pp. 25-53. Zbl0046.10803MR54865
  10. [Mo2] C.B. Morrey, Multiple integrals in the calculus of variations, Springer Verlag, Berlin (1966). Zbl0142.38701MR202511
  11. [Mu1] F. Murat, Compacité par compensation, Ann, Scuola Norm. Sup. Pisa, 5 (1978), pp. 489-507. Zbl0399.46022MR506997
  12. [Mu2] F. Murat, Compacité par compensation, II, Proc. of the International Meeting dans Recent Meth. in Nonlin. Anal., édité par E. De Giorgi, E. Magenes, U. Mosco, Bologne (1979), pp. 245-256. Zbl0427.35008MR533170
  13. [Mu3] F. Murat, Compacité par compensation: condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant, Ann. Scuola Norm. Sup. Pisa, 8 (1981), pp. 69-102. Zbl0464.46034MR616901
  14. [Sil] C.G. Simader, On Dirichlet's boundary value problem, Lecture Notes in Math., vol. 268, Springer Verlag (1972). Zbl0242.35027MR473503
  15. [Sw1] J.R. Schulenberger - C.H. Wilcox, Coerciveness inequalities for non-elliptic systems of partial differential equations, Ann. Mat. Pura Appl., 88 (1971), pp. 229-306. Zbl0215.45302MR313887
  16. [Ta1] L. Tartar, Une nouvelle méthode de résolution d'équations aux dérivées partielles non linéaires, Lecture Notes in Math., Vol. 665, Springer Verlag (1977), pp. 228-241. Zbl0414.35068MR519433
  17. [Ta2] L. Tartar, Compensated Compactness, Heriot-Watt Symposium, Vol. 4, Pitman (1978). 

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