Functionals depending on curvatures with constraints
Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000), pp. 173-199 
@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},
     pages = {173--199},
     year = {2000},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {104},
     mrnumber = {1809356},
     zbl = {1017.49019},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_2000__104__173_0/}
}
TY  - JOUR
AU  - Mora, Maria Giovanna
AU  - Morini, Massimiliano
TI  - Functionals depending on curvatures with constraints
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2000
SP  - 173
EP  - 199
VL  - 104
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_2000__104__173_0/
LA  - en
ID  - RSMUP_2000__104__173_0
ER  - 
%0 Journal Article
%A Mora, Maria Giovanna
%A Morini, Massimiliano
%T Functionals depending on curvatures with constraints
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2000
%P 173-199
%V 104
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_2000__104__173_0/
%G en
%F 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. https://www.numdam.org/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. | Zbl | MR

[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. | Zbl | MR

[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. | Zbl | MR | Numdam

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

[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). | Zbl | MR

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

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

[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). | Zbl | MR

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

[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. | Zbl | MR

[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. | Zbl | MR