Free Access
Issue
ESAIM: COCV
Volume 19, Number 1, January-March 2013
Page(s) 167 - 189
DOI https://doi.org/10.1051/cocv/2012003
Published online 01 March 2012
  1. L. Ambrosio, N. Fusco and D. Pallara, Functions of bounded variation and free discontinuity problems. Oxford University Press, New York (2000). [Google Scholar]
  2. E. Bonnetier and A. Chambolle, Computing the equilibrium configuration of epitaxially strained crystalline films. SIAM J. Appl. Math. 62 (2002) 1093–1121. [CrossRef] [MathSciNet] [Google Scholar]
  3. A. Braides, A. Chambolle and M. Solci, A relaxation result for energies defined on pairs set-function and applications. ESAIM : COCV 13 (2007) 717–734. [CrossRef] [EDP Sciences] [Google Scholar]
  4. F. Cagnetti, M.G. Mora and M. Morini, A second order minimality condition for the Mumford-Shah functional. Calc. Var. Partial Differential Equations 33 (2008) 37–74. [CrossRef] [MathSciNet] [Google Scholar]
  5. A. Chambolle and C.J. Larsen, C regularity of the free boundary for a two-dimensional optimal compliance problem. Calc. Var. Partial Differential Equations 18 (2003) 77–94. [CrossRef] [MathSciNet] [Google Scholar]
  6. A. Chambolle and M. Solci, Interaction of a bulk and a surface energy with a geometrical constraint. SIAM J. Math. Anal. 39 (2007) 77–102. [CrossRef] [MathSciNet] [Google Scholar]
  7. B. De Maria and N. Fusco, Regularity properties of equilibrium configurations of epitaxially strained elastic films. Submitted paper (2011) [Google Scholar]
  8. I. Fonseca, The Wulff theorem revisited. Proc. Roy. Soc. London Ser. A 432 (1991) 125–145. [CrossRef] [MathSciNet] [Google Scholar]
  9. I. Fonseca and S. Müller, A uniqueness proof for the Wulff theorem. Proc. Roy. Soc. Edinburgh 119A (1991) 125–136. [CrossRef] [Google Scholar]
  10. I. Fonseca, N. Fusco, G. Leoni and M. Morini, Equilibrium configurations of epitaxially strained crystalline films : existence and regularity results. Arch. Rational Mech. Anal. 186 (2007) 477–537. [CrossRef] [Google Scholar]
  11. I. Fonseca, N. Fusco, G. Leoni and V. Millot, Material voids in elastic solids with anisotropic surface energies. J. Math. Pures Appl. 96 (2011) 591–639. [CrossRef] [Google Scholar]
  12. N. Fusco and M. Morini, Equilibrium configurations of epitaxially strained elastic films : second order minimality conditions and qualitative properties of solutions. Arch. Rational Mech. Anal. 203 (2012) 247–327. [CrossRef] [Google Scholar]
  13. A. Giacomini, A generalization of Goła¸b’s theorem and applications to fracture mechanics. Math. Models Methods Appl. Sci. 12 (2002) 1245–1267. [CrossRef] [Google Scholar]
  14. M.A. Grinfeld, The stress driven instability in elastic crystals : mathematical models and physical manifestations. J. Nonlinear Sci. 3 (1993) 35–83. [CrossRef] [MathSciNet] [Google Scholar]
  15. H. Koch, G. Leoni and M. Morini, On optimal regularity of free boundary problems and a conjecture of De Giorgi. Comm. Pure Appl. Math. 58 (2005) 1051–1076. [CrossRef] [MathSciNet] [Google Scholar]
  16. J. Taylor, Crystalline variational problems. Bull. Amer. Math. Soc. 84 (1978) 568–588. [CrossRef] [MathSciNet] [Google Scholar]

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