Semicontinuity in $L^{\mathrm{\infty }}$ for polyconvex integrals

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1. Acerbi, E. and Fusco, N. - Semicontinuity problems in the calculus of variations, «Arch. Rational Mech. Anal.», to appear. MR751305DOI10.1007/BF00275731
2. Ball, J.M. (1977) - Constitutive inequalities and existence theorems in nonlinear elastostatics, Nonlinear analysis and mechanics: Heriot-Watt Symposium (Edinburgh, 1976), Vol. I, pp. 187-241. «Res. Notes in Math.», No. 17, Pitman, London. 
3. Ball, J.M. (1977) - Convexity conditions and existence theorems in nonlinear elasticity, «Arch. Rational Mech. Anal.», vol. 63, pp. 337-403. 
4. Carbone, L. and Sbordone, C. (1979) - Some properties of $\mathrm{\Gamma }$-limits of integral functionals, «Annali di Matem. Pura Appl. (IV)», vol. CXXII, pp. 1-60. Zbl0474.49016
5. Dacorogna, B. (1982) - Minimal hypersurfaces problems in parametric form with nonconvex integrands, «Indiana Univ. Math. J.», vol. 31, pp. 531-552. Zbl0465.53038
6. Fichera, G. (1964) - Semicontinuity of multiple integrals in ordinary form, «Arch. Rational Mech. Anal.», vol. 17, pp. 339-352. Zbl0128.10003
7. Marcus, M. and Mizel, V. (1975) - Lower semi-continuity in parametric variational problems, the area formula and related results, «Amer. J. of Math.», vol. 99, pp. 579-600 Zbl0369.49008
8. Meyers, N.G. (1965) - Quasi-convexity and lower semicontinuity of multiple variational integrals of any order, «Trans. Amer. Math. Soc.», vol. 119, pp. 125-149. 
9. Morrey, C.B. (1952) - Quasi-convexity and the semicontinuity of multiple integrals, «Pacific J. Math.», vol. 2, pp. 25-53. Zbl0046.10803
10. Morrey, C.B. (1966) - Multiple integrals in the calculus of variations, Springer, Berlin. Zbl0142.38701
11. Serrin, J. (1961) - On the definition and properties of certain variational integrals, «Trans. Amer. Math. Soc.», vol. 101, pp. 139-167. Zbl0102.04601