Lusin-type approximation of BD functions

Royal Society of Edinburgh - Proceedings A

Volumn 129, Issue 4, 1999, Pages 697-705

  Ebobisse, François B ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22644451364     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500013081     Document Type: Article

References (21)

1. E. Acerbi and N. Fusco. Semicontinuity problems in the calculus of variations. Arch. Ration. Mech. Analysis 86 (1984), 125-145.
2. E. Acerbi and N. Fusco. A regularity theorem for minimizers of quasi-convex integrals. Arch. Ration. Mech. Analysis 99 (1987), 261-281.
3. G. Alberti. A Lusin type property of gradients. J. Funct. Analysis 100 (1991), 110-118.
4. k). Nonlinear Analysis Theory Methods Applic. 23 (1994), 405-425.
5. L. Ambrosio, A. Coscia and G. Dal Maso. Fine properties of functions with bounded deformation. Arch. Ration. Mech. Analysis 139 (1997), 201-238.
6. G. Anzellotti and M. Giaquinta. Existence of the displacement field for an elasto-plastic body subject to the Henky's law and von Mises yield condition. Manuscripta Math. 32 (1980), 101-136.
7. G. Bellettini, A. Coscia and G. Dal Maso. Special functions of bounded deformation. Preprint SISSA, Trieste (1996).
8. E. De Giorgi and L. Ambrosio. Un nuovo tipo di funzionale del calcolo delle variazioni. Atti Accad. Naz. Lincei Rend. Cl. Sci. Mat. Natur. 82 (1988), 199-210.
9. F. Ebobisse. On lower semicontinuity of integral functionals in LD(Ω). Ric. Matematica. (In the press.)
10. F. Ebobisse. Fine properties of functions with bounded deformation and applications in variational problems. PhD thesis (University of Pisa, 1999).
11. L. C. Evans. Quasi-convexity and partial regularity in the calculus of variations. Arch. Ration. Mech. Analysis 95 (1986), 227-252.
12. L. C. Evans and R. Gariepy. Measure theory and fine properties of functions (Boca Raton, FL: CRC Press, 1992).
13. H. Federer. Geometric measure theory (Berlin: Springer, 1969).
14. P. Hajlasz. On approximate differentiability of functions with bounded deformations. Manuscripta Math. 91, (1996), 61-72.
15. R. V. Kohn. New estimates for deformations in terms of their strains. PhD thesis (Princeton University, 1979).
16. F. C. Liu. A Lusin type property of Sobolev functions. Indiana Univ. Math. J. 26 (1977), 645-651.
17. H. Matthies, G. Strang and E. Christiansen. The saddle point of a differential program. In Energy methods in finite elements analysis (New York: Wiley, 1979).
18. J. H. Michael and W. P. Ziemer. A Lusin type approximation of Sobolev functions by smooth functions. Contemp. Math. (AMS) 42 (1985), 135-167.
19. E. M. Stein. Singular integrals and differentiability properties of functions (Princeton University Press, 1970).
20. P. M. Suquet. Un espace fonctionel pour les équations de la plasticité. Ann. Fac. Toulouse 1 (1979), 77-87.
21. R. Témam. Mathematical problems in plasticity (Paris: Bordas, 1985).