Free Access
Volume 43, Number 1, January-February 2009
Page(s) 139 - 150
Published online 16 October 2008
  1. F. Alter and V. Caselles, Uniqueness of the Cheeger set of a convex body. Preprint (2007) available at
  2. F. Alter, V. Caselles and A. Chambolle, Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Interfaces Free Bound. 7 (2005) 29–53. [CrossRef] [MathSciNet]
  3. L. Ambrosio, N. Fusco and D. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, Oxford Mathematical Monographs. Oxford University Press, New York (2000).
  4. B. Appleton and H. Talbot, Globally minimal surfaces by continuous maximal flows. IEEE Trans. Pattern Anal. Mach. Intell. 28 (2006) 106–118. [CrossRef] [PubMed]
  5. G. Bellettini, V. Caselles, A. Chambolle and M. Novaga, Crystalline mean curvature flow of convex sets. Arch. Ration. Mech. Anal. 179 (2006) 109–152. [CrossRef] [MathSciNet]
  6. G. Buttazzo, G. Carlier and M. Comte, On the selection of maximal Cheeger sets. Differential Integral Equations 20 (2007) 991–1004. [MathSciNet]
  7. G. Carlier and M. Comte, On a weighted total variation minimization problem. J. Funct. Anal. 250 (2007) 214–226. [CrossRef] [MathSciNet]
  8. V. Caselles, A. Chambolle and M. Novaga, Uniqueness of the Cheeger set of a convex body. Pacific J. Math. 232 (2007) 77–90. [CrossRef] [MathSciNet]
  9. A. Chambolle, An algorithm for total variation minimization and applications, Special issue on mathematics and image analysis. J. Math. Imaging Vision 20 (2004) 89–97. [CrossRef] [MathSciNet]
  10. A. Chambolle and P.-L. Lions, Image recovery via total variation minimization. Numer. Math. 76 (1997) 167–188. [CrossRef] [MathSciNet]
  11. P.-L. Combettes, A block-iterative surrogate constraint splitting method for quadratic signal recovery. IEEE Trans. Signal Process. 51 (2003) 1771–1782. [CrossRef] [MathSciNet]
  12. P.-L. Combettes and J.-C. Pesquet, image restoration subject to a total variation constraint. IEEE Trans. Image Process. 13 (2004) 1213–1222. [CrossRef] [PubMed]
  13. N. Cristescu, A model of stability of slopes in Slope Stability 2000, in Proceedings of Sessions of Geo-Denver 2000, D.V. Griffiths, G.A. Fenton, T.R. Martin Eds., Geotechnical special publication 101 (2000) 86–98.
  14. F. Demengel, Théorèmes d'existence pour des équations avec l'opérateur “1-Laplacien”, première valeur propre de Formula . C. R. Math. Acad. Sci. Paris 334 (2002) 1071–1076. [CrossRef] [MathSciNet]
  15. F. Demengel, Some existence's results for noncoercive “1-Laplacian” operator. Asymptotic Anal. 43 (2005) 287–322.
  16. G. Duvaut and J.-L. Lions, Les inéquations en mécanique et en physique. Dunod, Paris (1972).
  17. I. Ekeland and R. Temam, Convex Analysis and Variational Problems, Classics in Mathematics. Society for Industrial and Applied Mathematics, Philadelphia (1999).
  18. L.C. Evans and R. Gariepy, Measure Theory and Fine Properties of Functions. CRC Press (1992).
  19. R. Hassani, I.R. Ionescu and T. Lachand-Robert, Shape optimization and supremal minimization approaches in landslides modeling. Appl. Math. Opt. 52 (2005) 349–364. [CrossRef]
  20. P. Hild, I.R. Ionescu, T. Lachand-Robert and I. Rosca, The blocking of an inhomogeneous Bingham fluid. Applications to landslides. ESAIM: M2AN 36 (2002) 1013–1026. [CrossRef] [EDP Sciences]
  21. I.R. Ionescu and T. Lachand-Robert, Generalized Cheeger sets related to landslides. Calc. Var. Partial Differential Equations 23 (2005) 227–249. [CrossRef] [MathSciNet]
  22. R. Nozawa, Max-flow min-cut theorem in an anisotropic network. Osaka J. Math. 27 (1990) 805–842. [MathSciNet]
  23. L.I. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithms. Physica D 60 (1992) 259–268. [NASA ADS] [CrossRef] [MathSciNet]
  24. G. Strang, Maximal flow through a domain. Math. Programming 26 (1983) 123–143. [CrossRef] [MathSciNet]
  25. G. Strang, Maximum flows and minimum cuts in the plane. J. Global Optimization (to appear).

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