A global method for relaxation

Archive for Rational Mechanics and Analysis

Volumn 145, Issue 1, 1998, Pages 51-98

  Bouchitté, Guy ^a   Fonseca, Irene ^a   Mascarenhas, Luisa ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032265116     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050124     Document Type: Article

References (22)

1. ALBERTI, G.: Rank-one property for derivatives of functions with bounded variation. Proc. Royal Soc. Edin. 123A (1993), 239-274.
2. ALBERTI, G.: Integral representation of local functional. Ann. Mat. Pura Appl. (IV) 165 (1993), 49-86.
3. AMBROSIO L.: A compactness theorem for a special class of functions of bounded variation. Boll. Un. Mat. Ital. 3B 7 (1989), 857-881.
4. AMBROSIO L.: On the lower semicontinuity of quasi-convex integrals in SBV. Nonlinear Anal. 23 (1994), 405-125.
5. AMBROSIO, L. & E. DE GIORGI: Un nuovo tipo di funzionale del calcolo delle variazioni. Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 82 (1988), 199-210.
6. m) of quasiconvex integrals, J. Funct. Anal. 109 (1992), 76-97.
7. BELLIEUD, M.: Regularization of a set function with respect to a measure upper bound, Technical Report, ANLA, Université de Toulon (to appear).
8. p) of energies involving bulk and surface energy contributions. Arch. Rational Mech. Anal. 135 (1996), 107-173.
9. BRAIDES, A. & A. COSCIA: The interaction between bulk energy and surface energy in multiple integrals. Proc Royal Soc. Edin. 124A (1994), 737-756.
10. BOUCHITTÉ, G. & G. DAL MASO: Integral representation and relaxation of convex local functionals on BV(Ω). Ann. Scuola Norm. Sup. Pisa 20 (1993), 483-533.
11. BRAIDES, A., A. DEFRANCESCHI & E. VITALI: Homogenization of free discontinuity problems. Arch. Rational Mech. Anal. 135 (1996), 297-356.
12. DACOROGNA, B.: Direct Methods in the Calculus of Variations, Springer, 1989.
13. DAL MASO, G.: An Introduction to Γ-Convergence. Birkhäuser, Boston, 1993.
14. EVANS, L. C. & R. F. GARIEPY: Measure Theory and Fine Properties of Functions, CRC Press, 1992.
15. FEDERER, H.: Geometric Measure Theory. Springer (2nd ed.), 1996.
16. 1. SIAM J. Math. Anal. 23 (1992), 1081-1098.
17. p) for integrands f(x, u, ∇u). Arch. Rational Mech. Anal. 123 (1993), 1-49.
18. GIUSTI, E.: Minimal Surfaces and Functions of Bounded variations. Birkhäuser, Boston, 1984.
19. 1,1 and optimal jump microstructure in BV relaxation. C.N.A. Research report no. 95-NA-024.
20. LICHT, C. & G. MICHAILLE: Global-local subadditive ergodic theorems and application to homogenization in plasticity. Research report no. 1997/04, Département des Sciences Mathematiques, Université Monpellier II.
21. MORSE, A. P.: Perfect blankets. Trans. Amer. Math. Soc. 61 (1947), 418-442.
22. ZIEMER, W. P.: Weakly Differentiable Functions. Springer, Berlin, 1989.