@article{AFST_2001_6_10_2_299_0, author = {Giannetti, Flavia and Verde, Anna}, title = {Lower semicontinuity of a class of multiple integrals below the growth exponent}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {299--311}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 10}, number = {2}, year = {2001}, mrnumber = {1896184}, zbl = {1017.49016}, language = {en}, url = {http://archive.numdam.org/item/AFST_2001_6_10_2_299_0/} }
TY - JOUR AU - Giannetti, Flavia AU - Verde, Anna TI - Lower semicontinuity of a class of multiple integrals below the growth exponent JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2001 SP - 299 EP - 311 VL - 10 IS - 2 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://archive.numdam.org/item/AFST_2001_6_10_2_299_0/ LA - en ID - AFST_2001_6_10_2_299_0 ER -
%0 Journal Article %A Giannetti, Flavia %A Verde, Anna %T Lower semicontinuity of a class of multiple integrals below the growth exponent %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2001 %P 299-311 %V 10 %N 2 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U http://archive.numdam.org/item/AFST_2001_6_10_2_299_0/ %G en %F AFST_2001_6_10_2_299_0
Giannetti, Flavia; Verde, Anna. Lower semicontinuity of a class of multiple integrals below the growth exponent. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 10 (2001) no. 2, pp. 299-311. http://archive.numdam.org/item/AFST_2001_6_10_2_299_0/
[1] New lower semicontinuity results for polyconvex integrals, Calc. Var. Partial Differential Equations 2 (1994), no.3, 329-371. | MR | Zbl
), ). -[2] Semicontinuity problems in the Calculus of Variations, Arch. Rat. Mech. Anal. 86 (1984), 125-145. | MR | Zbl
), ). -[3] Convexity conditions and existence theorems in nonlinear elsticity, Arch. Rational Mech. Anal. 63 (1977), 337-403. | MR | Zbl
). -[4] W1,p quasiconvexity and variational problems for multiple integrals, J. Funct. Anal. 58 (1984), 225-253. | MR | Zbl
), ). -[5] Direct Methods in the Calculus of Variations, Springer Verlag, Berlin (1989). | MR | Zbl
). -[6] Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants, C.R. Acad. Sci. Paris, 311 (1990), 393-396. | MR | Zbl
), ). -[7] Weak lower semicontinuity of polyconvex integrals : a borderline case, Math. Z. 218 (1995), no.4, 603-609. | MR | Zbl
), ). -[8] Convex Analysis and Variational Problems, North-Holland, New York (1976). | MR | Zbl
), ). -[9] Measure theory and fine properties of functions,Studies in Advanced Maths.CRC Press 1992. | MR | Zbl
), ). -[10] A-quasiconvexity, lower semicontinuity and Young measures, SIAM J. Math. Anal. 30 (1999), n.6, 1355-1390. | MR | Zbl
), ). -[11] Relaxation of multiple integrals below the growth exponents, Ann. Inst. H. Poincaré 14, n.3 (1997), 309-338. | EuDML | Numdam | MR | Zbl
), ). -[12] Relaxation of multiple integrals in subcritical Sobolev spaces, J. Geom. Anal. 7 (1997), no.1, 57-81. | MR | Zbl
), ). -[13] A direct proof for lower semicontinuity of polyconvex functionals, Manu- scripta Math. 87 (1995), 35-50. | EuDML | MR | Zbl
), ). -[14] On the weak lower semicontinuity of energies with polyconvex integrands J. Math. Pures et Appl. 73 (1994), 455-469. | MR | Zbl
). -[15] Variational Integrals for Elliptic Complexes, Studia Math. 140 (2000), no.1, 79-98. | EuDML | MR | Zbl
), ). -[16] Quasiharmonic Fields, Ann. Inst. H. Poincaré Anal. Non Linéaire 18, n. 5 (2001), 519-572. | EuDML | Numdam | MR | Zbl
), ). -[17] Finite Functionals and Young Measures Generated by Gradients of Sobolev Functions , Mat- Report 1994-34, Mathematical Institute, Technical University of Denmark, Lyngby, Denmark,1994.
). -[18] Weak lower semicontinuity of polyconvex integrands, Proc. Royal Soc. Edin. 123A (1993), 681-691. | MR | Zbl
). -[19] On the definition and lower semicontinuity of certain quasiconvex integrals, Ann. Inst. H. Poincaré (1986), 391-409. | EuDML | Numdam | MR | Zbl
). -[20] Quasiconvexity and the semicontinuity of multiple integrals of any order, Trans. Amer. Math. Soc. 119 (1965), 125-149. | MR | Zbl
). -[21] Quasiconvexity and the semicontinuity of multiple integrals Pacific J. Math. 2 (1952), 25-53. | MR | Zbl
.). -[22] Multiple integrals in the calculus of variations Die Grund. der Math. Wiss. 130, Springer Verlag, Heidelberg and New York, 1966. | MR | Zbl
). -