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Congedo, G.; Tamanini, I.
On the existence of solutions to a problem in multidimensional segmentation. Annales de l'institut Henri Poincaré (C) Analyse non linéaire, 8 no. 2 (1991), p. 175-195
Texte intégral djvu | pdf | Analyses MR 1096603 | Zbl 0729.49003 | 6 citations dans Numdam

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[A1m] F.J. Almgren, Existence and Regularity Almost Everywhere of Solutions to Elliptic Variations Problems with Constraints, Mem. A.M.S., Vol. 4, No. 165, 1976.  MR 420406 |  Zbl 0327.49043
[A1] L. Ambrosio, A Compactness Theorem for a Special Class of Functions of Bounded Variation, Boll. Un. Mat. Ital. (to appear).
[A2] L. Ambrosio, Existence Theory for a New Class of Variational Problems, Arch. Rat. Mech. Anal., (to appear).  MR 1068374 |  Zbl 0711.49064
[A-B] L. Ambrosio and A. Braides, Functionals defined on partitions... I et II, J. Math. Pures Appl. (to appear).
[B-M] J. Blat and J.M. Morel, Elliptic Problems in Image Segmentation (to appear).
[C-T1] G. Congedo and I. Tamanini, Note sulla regolarità dei minimi di funzionali del tipo dell'area, Rend. Accad. Naz. XL, 106, Vol. XII, fasc. 17, 1988, pp. 239-257.  MR 985069 |  Zbl 0674.49031
[C-T2] G. Congedo and I. Tamanini, Density Theorems for Local Minimizers of Area-Type Functionals (to appear).
Numdam |  MR 1142542
[DeG] E. De Giorgi, Free Discontinuity Problems in Calculus of Variations, Proceedings of the meeting in J. L. Lions's honour, Paris, 1988 (to appear).  Zbl 0758.49002
[DeG-A] E. De Giorgi and L. Ambrosio, Un nuovo tipo di funzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei (to appear).
[DeG-C-L] E. De Giorgi, M. Carriero and A. Leaci, Existence Theorem for a minimum Problem with Free Discontinuity Set, Arch. Rat. Mech. Anal., Vol. 108, 1989, pp. 195-218.  MR 1012174 |  Zbl 0682.49002
[DeG-C-P] E. De Giorgi, F. Colombini and L.C. Piccinini, Frontiere orientate di misura minima e questioni collegate, Editrice Tecnico Scientifica, Pisa, 1972.  Zbl 0296.49031
[DeG-C-T] E. De Giorgi, G. Congedo and I. Tamanini, Problemi di regolarità per un nuovo tipo di funzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei (to appear).
[F] H. Federer, Geometric Measure Theory, Springer-Verlag, Berlin, 1969.  MR 257325 |  Zbl 0176.00801
[G] E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, Boston, 1984.  MR 775682 |  Zbl 0545.49018
[M-M] U. Massari and M. Miranda, Minimal Surfaces of Codimension 1, North-Holland, Amsterdam, 1984.  MR 795963 |  Zbl 0565.49030
[M-T] U. Massari, I. Tamanini, paper in preparation.
[Mo-S] J.M. Morel and S. Solimini, Segmentation of Images by Variational Methods: a Constructive Approach, Rev. Mat. Univ. Complutense Madrid, Vol. 1, 1988, pp. 169-182.  MR 977048 |  Zbl 0679.68205
[M-S] D. Mumford and J. Shah, Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems, Comm. Pure Appl. Math., Vol. 42, 1989, pp. 577-685.  MR 997568 |  Zbl 0691.49036
[S] L. Simon, Lectures on Geometric Measure Theory, Center for Math. Analysis, Australian National University, Vol., 3, 1983.  MR 756417 |  Zbl 0546.49019
[T1] J.E. Taylor, The Structure of Singularities in Soap-Bubble-Like and Soap-Film-Like Minimal Surfaces, Annals Math., 103, 1976, pp. 489-539.  MR 428181 |  Zbl 0335.49032
[T2] J.E. Taylor, Cristalline Variational Problems, Bull. A.M.S., Vol. 84, 1978, pp. 568-588.
Article |  MR 493671 |  Zbl 0392.49022
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