no. 1
Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 8 (1981) no. 1, pp. 69-102. 
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     title = {Compacit\'e par compensation : condition n\'ecessaire et suffisante de continuit\'e faible sous une hypoth\`ese de rang constant},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {69--102},
     publisher = {Scuola normale superiore},
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     zbl = {0464.46034},
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}
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Murat, François. Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 8 (1981) no. 1, pp. 69-102. http://archive.numdam.org/item/ASNSP_1981_4_8_1_69_0/

[1] J.M. Ball, On the calculus of variations and sequentially weakly continuous maps, in Ordinary and Partial Differential Equations, Proceedings of the fourth conference held at Dundee (march 1976), ed. by W. N. EVERITT and B. D. SLEEMAN. Lecture Notes in Mathematics, No. 564, Springer, Berlin (1976), pp. 13-25, | MR | Zbl

[2] J.M. Ball, Convexity conditions and existence theorems in non-linear elasticity, Arch. Rational Mech. Anal., 63 (1977), pp. 337-403. | MR | Zbl

[3] J.M. Ball, Constitutive inequalities and existence theorems in non-linear elastostatics, in Non-linear Analysis and Mechanics, Heriot-Watt Symposium, Vol. I, ed. by R. J. KNOPS, Research Notes in Mathematics, No. 17, Pitman, Londres (1977), pp. 187-241. | MR | Zbl

[4] J. Hadamard, Sur une question de calcul des variations, Bull. Soc. Math. France, 30 (1902), pp. 253-256.Réédité in Oeuvres de Jacques Hadamard, Editions du CNRS, Paris (1968), Tome 2, pp. 467-470. | JFM

[5] J. Hadamard, Sur quelques questions de calcul des variations, Bull. Soc. Math. France, 33 (1905), pp. 73-80.Réédité in Oeuvres de Jacques Hadamard, Editions du CNRS, Paris (1968), Tome 2, pp. 471-478. | EuDML | JFM | Numdam | MR

[6] J. Hadamard, Leçons sur la propagation des ondes et les équations de l'hydrodynamique, Herman, Paris (1903). Réédité par Chelsea, New York (1949). | JFM

[7] T. Kato, On a coerciveness theorem by Schulenberger and Wilcox, Indiana Univ. Math. J., 24, (1975), pp. 979-985. | MR | Zbl

[8] S.G. Mikhlin, Multidimensional singular integrals and integral equations, Pergamon Press, Oxford (1965). | MR | Zbl

[9] C.B. Morreyjr., Quasiconvexity and the lower semicontinuity of multiple integrals, Pacific J. Math., 2 (1952), pp. 25-53. | MR | Zbl

[10] C.B. Morreyjr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer, Berlin (1966). | MR | Zbl

[11] F. Murat, Compacité par compensation, Ann. Scuola Norm. Sup. Pisa, 5, (1978), pp. 489-507. | Numdam | MR | Zbl

[12] F. Murat, Compacité par compensation II, in Proceedings of the international meeting on recent methods in non-linear analysis (Rome, may 1978), ed. by E. DE GIORGI, E. MAGENES and U. Mosco, Pitagora Editrice, Bologna (1979), pp. 245-256. | MR | Zbl

[13] Y.G. Reshetnyak, On the stability of conformal mappings in multidimensional spaces, Siberian Math. J., 8 (1967), pp. 69-85. | Zbl

[14] Y.G. Reshetnyak, Stability theorems for mappings with bounded excursions, Siberian Math. J., 9 (1968), pp. 499-512. | Zbl

[15] L. Sarason, Remarks on an inequality by Schulenberger and Wilcox, Ann .Mat. Pura Appl., 92 (1972), pp. 23-28. | MR | Zbl

[16] J.R. Schulenberger - C.H. Wilcox, Coerciveness inequalities for nonelliptic systems of partial differential equations, Ann. Mat. Pura Appl., 88 (1971), pp. 229-306. | MR | Zbl

[17] J.R. Schulenberger - C.H. Wilcox, A coerciveness inequality for a class of nonelliptic operators of constant deficit, Ann. Mat. Pura Appl., 92 (1972), pp. 77-84. | MR | Zbl

[18] L. Tartar, Cours Peccot, Collège de France, Paris, mars 1977, non publié.

[19] L. Tartar, Compensated compactness and applications to p.d.e., in Non-linear Analysis and Mechanics, Heriot-Watt Symposium, Vol. IV, ed. by R. J. KNOPS, Research Notes in Mathematics, No. 39, Pitman, Londres (1979), pp. 136-212. | MR | Zbl

[20] L. Van Hove, Sur l'extension de la condition de Legendre du calcul des variations aux intégrales multiples à plusieurs fonctions inconnues, Koninkl. Ned. Akad. Wetenschap., Proc. of the section of Sc., 50 (1947), pp. 18-23. | MR | Zbl