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Acerbi, E., Dal Maso, G.: New lower semicontinuity results for polyconvex integrals.Calc. Var. 2 (1994), 329–372.
Ball, J.M., Murat, F.:W 1,p-quasiconvexity and variational problems for multiple integrals.J. Funct. Anal. 58 (1984), 225–253, and66 (1986), 439–439.
Carbone, L., De Arcangelis, R.: Further results on Γ-convergence and lower semicontinuity of integral functionals depending on vector-valued functions.Ricerche Mat. 39 (1990), 99–129.
Dacorogna, B., Marcellini, P.: Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants.C. R. Acad. Sci. Paris. Sér. I Math. 311 (1990), 393–396.
Gangbo, W.: On the weak lower semicontinuity of energies with polyconvex integrands. Manuscript, Carnegie Mellon University, 1992.
Giaquinta, M., Modica, G., Souček, J.: Cartesian currents, weak diffeomorphisms and nonlinear elasticity.Arch. Rational Mech. Anal. 106 (1989), 97–159, and109 (1990), 385–392.
Giaquinta, M., Modica, G., Souček, J.: Cartesian currents and variational problems for mappings into spheres.Ann. Scuola Norm. Sup. Pisa Cl. Sci. 16 (1989), 393–485.
Kelley, J.L.: General Topology, Van Nostrand, New York, 1955.
Malý, J.: Weak lower semicontinuity of polyconvex integrals.Proc. Roy. Soc. Edinburgh Sect A 123 (1993), 681–691.
Malý, J.: Weak lower semicontinuity of polyconvex integrals and quasiconvex integrals. Preprint Bonn Univ., 1993.
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Dal Maso, G., Sbordone, C. Weak lower semicontinuity of polyconvex integrals: a borderline case. Math Z 218, 603–609 (1995). https://doi.org/10.1007/BF02571927
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DOI: https://doi.org/10.1007/BF02571927