no. 6
Further remarks on the lower semicontinuity of polyconvex integrals
Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 6, pp. 661-691 
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     pages = {661--691},
     year = {1994},
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     number = {6},
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     zbl = {0833.49013},
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     url = {https://www.numdam.org/item/AIHPC_1994__11_6_661_0/}
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Celada, Pietro; Dal Maso, Gianni. Further remarks on the lower semicontinuity of polyconvex integrals. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 6, pp. 661-691. https://www.numdam.org/item/AIHPC_1994__11_6_661_0/

[1] E. Acerbi and G. Dal MASO, New lower semicontinuity results for polyconvex integrals, Calc. Var. (to appear). | Zbl | MR

[2] J.M. Ball and F. Murat, W1,p-quasiconvexity and variational problems for multiple integrals, J. Funct. Anal., Vol. 58, 1984, pp. 225-253; Vol. 66, 1986, pp. 439. | Zbl | MR

[3] G. Buttazzo, Semicontinuity, relaxation and integral representation problems in the calculus of variations, Pitman Res. Notes in Math., Vol. 207, Longman, Harlow, 1989. | Zbl

[4] B. Dacorogna, Direct methods in the calculus of variation, Springer-Verlag, Berlin, 1989. | Zbl | MR

[5] B. Dacorogna and P. Marcellini, Semicontinuité pour des intégrands polyconvexes sans continuité des déterminants, C. R. Acad. Sci. Paris, Sér. I, Vol. 311, 1990, pp. 393-396. | Zbl | MR

[6] G. Dal Maso and C. Sbordone, Weak lower semicontinuity of policonvex integrals: a borderline case, Math. Z. (to appear). | Zbl | MR

[7] H. Federer, Geometric measure theory, Springer-Verlag, Berlin, 1969. | Zbl | MR

[8] M. Giaquinta, G. Modica and J. Souček, Cartesian currents, weak diffeomorphisms and nonlinear elasticity, Arch. Rational Mech. Anal., Vol. 106, 1989, pp. 97-159; Vol. 109, 1990, pp. 385-392. | Zbl

[9] M. Giaquinta, G. Modica and J. Souček, The Dirichlet integral for mappings between manifolds: cartesian currents and homology, Math. Ann, Vol. 294, 1992, pp. 325-386. | Zbl | MR

[10] E. Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Boston, 1984. | Zbl | MR

[11] C. Goffman and J. Serrin, Sublinear functions of measures and variational integrals, Duke Math. J., Vol. 31, 1964, pp. 159-178. | Zbl | MR

[12] J. Maly, Weak lower semicontinuity of polyconvex integrals, Proc. Roy. Soc., Edinburgh, Vol. 123A, 1993, pp. 681-691. | Zbl | MR

[13] Yu.G. Reshetnyak, Weak convergence of completely additive vector functions on a set, Siberian Math. J., Vol. 101, 1961, pp. 139-167.

[14] T. Rockafellar, Convex analysis, Princeton University Press, Princeton, 1970. | Zbl | MR

[15] L. Schwartz, Théorie des distributions, Hermann, Paris,1966. | Zbl | MR

[16] L.M. Simon, Lectures on geometric measure theory, Proc. of the Centre for Mathematical Analysis, Australian National University, Vol. 3, Canberra, 1983. | Zbl | MR