Functionals depending on curvatures with constraints
Mora, Maria Giovanna ; Morini, Massimiliano
Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000), p. 173-199 / Harvested from Numdam
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Publié le : 2000-01-01
@article{RSMUP_2000__104__173_0,
     author = {Mora, Maria Giovanna and Morini, Massimiliano},
     title = {Functionals depending on curvatures with constraints},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {104},
     year = {2000},
     pages = {173-199},
     mrnumber = {1809356},
     zbl = {1017.49019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2000__104__173_0}
}

Mora, Maria Giovanna; Morini, Massimiliano. Functionals depending on curvatures with constraints. Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000) pp. 173-199. http://gdmltest.u-ga.fr/item/RSMUP_2000__104__173_0/

[1] E. Acerbi - N. Fusco, Semicontinuity Problems in the Calculus of Variations, Arch. Rational Mech. Anal., 86 (1984), pp. 125-145. | MR 751305 | Zbl 0565.49010

[2] S. Agmon - A. DOUGLIS - L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary value conditions, Comm. Pure Appl. Math., 12 (1959), pp. 623-727. | MR 125307 | Zbl 0093.10401

[3] G. Bellettini - G. Dal Maso - M. Paolini, Semicontinuity and Relaxation Properties of a Curvature Depending Functional in 2D, Ann. Scuola Norm. Sup. Pisa, XX (1993), pp. 247-297. | Numdam | MR 1233638 | Zbl 0797.49013

[4] M.P. D, Differential Geometry of Curves and Surfaces, Prentice-Hall, Englewood Cliffs, New Jersey (1976). | MR 394451 | Zbl 0326.53001

[5] B.Y. Chen, Total Mean Curvature and Submanifolds of Finite Type, Series in Pure Mathematics-Volume 1, World Scientific Publishing Co Pte Ltd., Singapore (1984). | MR 749575 | Zbl 0537.53049

[6] G. Dal Maso: An Introduction to Γ-convergence, Birkhäuser, Boston (1993). | Zbl 0816.49001

[7] J.M. Morel - S. Solimini, Variational Models in Image Segmentation, Birkhäuser, Boston (1995). | MR 1321598

[8] M. Nitzberg - D. Mumford, The 2.1-D Sketch, International Conference on Computer Vision. Computer Society Press, IEEE (1990).

[9] M. Nitzberg - D. Mumford - T. Shiota, Filtering, Segmentation and Depth, Springer-Verlag, Berlin (1993). | MR 1226232 | Zbl 0801.68171

[10] M. Spivak, A Comprehensive Introduction to Differential Geometry, Publish or Perish, Berkeley (1979). | Zbl 0439.53001

[11] T.J. Willmore, Note on embedded surfaces, An. Stiint. Univ. «Al. I. Cusa» Iasi Sect. I, a Mat., vol. II (1965), pp. 443-446. | MR 202066 | Zbl 0171.20001

[12] T.J. Willmore, Mean Curvature of Immersed Manifolds, topics in Differential Geometry, edited by H. Rund and W. F. Forbes, Academic Press, London (1976), pp. 149-156. | MR 413017 | Zbl 0339.53005