@article{AIHPC_1994__11_6_661_0, author = {Celada, Pietro and Dal Maso, Gianni}, title = {Further remarks on the lower semicontinuity of polyconvex integrals}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {661--691}, publisher = {Gauthier-Villars}, volume = {11}, number = {6}, year = {1994}, mrnumber = {1310627}, zbl = {0833.49013}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1994__11_6_661_0/} }
TY - JOUR AU - Celada, Pietro AU - Dal Maso, Gianni TI - Further remarks on the lower semicontinuity of polyconvex integrals JO - Annales de l'I.H.P. Analyse non linéaire PY - 1994 SP - 661 EP - 691 VL - 11 IS - 6 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1994__11_6_661_0/ LA - en ID - AIHPC_1994__11_6_661_0 ER -
%0 Journal Article %A Celada, Pietro %A Dal Maso, Gianni %T Further remarks on the lower semicontinuity of polyconvex integrals %J Annales de l'I.H.P. Analyse non linéaire %D 1994 %P 661-691 %V 11 %N 6 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1994__11_6_661_0/ %G en %F AIHPC_1994__11_6_661_0
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. http://archive.numdam.org/item/AIHPC_1994__11_6_661_0/
[1] MASO, New lower semicontinuity results for polyconvex integrals, Calc. Var. (to appear). | MR | Zbl
and[2] W1,p-quasiconvexity and variational problems for multiple integrals, J. Funct. Anal., Vol. 58, 1984, pp. 225-253; Vol. 66, 1986, pp. 439. | MR | Zbl
and ,[3] Semicontinuity, relaxation and integral representation problems in the calculus of variations, Pitman Res. Notes in Math., Vol. 207, Longman, Harlow, 1989. | Zbl
,[4] Direct methods in the calculus of variation, Springer-Verlag, Berlin, 1989. | MR | Zbl
,[5] Semicontinuité pour des intégrands polyconvexes sans continuité des déterminants, C. R. Acad. Sci. Paris, Sér. I, Vol. 311, 1990, pp. 393-396. | MR | Zbl
and ,[6] Weak lower semicontinuity of policonvex integrals: a borderline case, Math. Z. (to appear). | MR | Zbl
and ,[7] Geometric measure theory, Springer-Verlag, Berlin, 1969. | MR | Zbl
,[8] Cartesian currents, weak diffeomorphisms and nonlinear elasticity, Arch. Rational Mech. Anal., Vol. 106, 1989, pp. 97-159; Vol. 109, 1990, pp. 385-392. | Zbl
, and ,[9] The Dirichlet integral for mappings between manifolds: cartesian currents and homology, Math. Ann, Vol. 294, 1992, pp. 325-386. | MR | Zbl
, and ,[10] Minimal surfaces and functions of bounded variation, Birkhäuser, Boston, 1984. | MR | Zbl
,[11] Sublinear functions of measures and variational integrals, Duke Math. J., Vol. 31, 1964, pp. 159-178. | MR | Zbl
and ,[12] Weak lower semicontinuity of polyconvex integrals, Proc. Roy. Soc., Edinburgh, Vol. 123A, 1993, pp. 681-691. | MR | Zbl
,[13] Weak convergence of completely additive vector functions on a set, Siberian Math. J., Vol. 101, 1961, pp. 139-167.
,[14] Convex analysis, Princeton University Press, Princeton, 1970. | MR | Zbl
,[15] Théorie des distributions, Hermann, Paris,1966. | MR | Zbl
,[16] Lectures on geometric measure theory, Proc. of the Centre for Mathematical Analysis, Australian National University, Vol. 3, Canberra, 1983. | MR | Zbl
,