Free Access
Volume 13, Number 2, April-June 2007
Page(s) 396 - 412
Published online 12 May 2007
  1. M. Amar and V. De Cicco, Relaxation in BV for a class of functionals without continuity assumptions. NoDEA (to appear). [Google Scholar]
  2. L. Ambrosio, N. Fusco and D. Pallara, Functions of bounded variation and free discontinuity problems. Oxford University Press, New York (2000). [Google Scholar]
  3. G. Bouchitté, I. Fonseca and L. Mascarenhas, A global method for relaxation. Arch. Rat. Mech. Anal. 145 (1998) 51–98. [Google Scholar]
  4. G. Buttazzo, Semicontinuity, Relaxation and Integral Representation Problems in the Calculus of Variations. Pitman Res. Notes Math., Longman, Harlow (1989). [Google Scholar]
  5. G. Dal Maso, Integral representation on BVFormula of Formula -limits of variational integrals. Manuscripta Math. 30 (1980) 387–416. [CrossRef] [Google Scholar]
  6. G. Dal Maso, An Introduction toFormula -convergence. Birkhäuser, Boston (1993). [Google Scholar]
  7. V. De Cicco, N. Fusco and A. Verde, On L1-lower semicontinuity in BVFormula . J. Convex Analysis 12 (2005) 173–185. [Google Scholar]
  8. V. De Cicco, N. Fusco and A. Verde, A chain rule formula in BVFormula and its applications to lower semicontinuity. Calc. Var. Partial Differ. Equ. 28 (2007) 427–447. [CrossRef] [Google Scholar]
  9. V. De Cicco and G. Leoni, A chain rule in Formula and its applications to lower semicontinuity. Calc. Var. Partial Differ. Equ. 19 (2004) 23–51. [Google Scholar]
  10. E. De Giorgi and T. Franzoni, Su un tipo di convergenza variazionale. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (1975) 842–850. [MathSciNet] [Google Scholar]
  11. E. De Giorgi and T. Franzoni, Su un tipo di convergenza variazionale. Rend. Sem. Mat. Brescia 3 (1979) 63–101. [Google Scholar]
  12. L.C. Evans and R.F. Gariepy, Lecture Notes on Measure Theory and Fine Properties of Functions. CRC Press, Boca Raton (1992). [Google Scholar]
  13. H. Federer, Geometric measure theory. Springer-Verlag, Berlin (1969). [Google Scholar]
  14. I. Fonseca and G. Leoni, Some remarks on lower semicontinuity. Indiana Univ. Math. J. 49 (2000) 617–635. [MathSciNet] [Google Scholar]
  15. I. Fonseca and G. Leoni, On lower semicontinuity and relaxation. Proc. R. Soc. Edinb. Sect. A Math. 131 (2001) 519–565. [CrossRef] [Google Scholar]
  16. I. Fonseca and S. Müller, Quasi-convex integrands and lower semicontinuity in L1. SIAM J. Math. Anal. 23 (1992) 1081–1098. [CrossRef] [MathSciNet] [Google Scholar]
  17. I. Fonseca and S. Müller, Relaxation of quasiconvex functionals in BVFormula for integrands Formula . Arch. Rat. Mech. Anal. 123 (1993) 1–49. [Google Scholar]
  18. N. Fusco, M. Gori and F. Maggi, A remark on Serrin's Theorem. NoDEA 13 (2006) 425–433. [Google Scholar]
  19. E. Giusti, Minimal Surfaces and Functions of Bounded Variation. Birkhäuser, Boston (1984). [Google Scholar]
  20. M. Gori and P. Marcellini, An extension of the Serrin's lower semicontinuity theorem. J. Convex Anal. 9 (2002) 475–502. [MathSciNet] [Google Scholar]
  21. M. Gori, F. Maggi and P. Marcellini, On some sharp conditions for lower semicontinuity in L1. Diff. Int. Eq. 16 (2003) 51–76. [Google Scholar]
  22. A.I. Vol'pert and S.I. Hudjaev, Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics. Martinus & Nijhoff Publishers, Dordrecht (1985). [Google Scholar]

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