Blow-up of oriented boundaries
Leonardi, Gian Paolo
Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000), p. 211-232 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2000-01-01
@article{RSMUP_2000__103__211_0,
     author = {Leonardi, Gian Paolo},
     title = {Blow-up of oriented boundaries},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {104},
     year = {2000},
     pages = {211-232},
     mrnumber = {1789540},
     zbl = {0977.49030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2000__103__211_0}
}

Leonardi, Gian Paolo. Blow-up of oriented boundaries. Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000) pp. 211-232. http://gdmltest.u-ga.fr/item/RSMUP_2000__103__211_0/

[1] F. Almgren, Minimal surfaces: tangent cones, singularities and topological types, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 767-770. | MR 562685 | Zbl 0433.49016

[2] L. Ambrosio, Corso introduttivo alla Teoria Geometrica della Misura ed alle superfici minime, Scuola Norm. Sup., Pisa, 1997. | MR 1736268 | Zbl 0977.49028

[3] L. Ambrosio - E. Paolini, Partial regularity for quasi minimizers of perimeter, To appear. | MR 1765683 | Zbl 0943.49032

[4] E. Barozzi - E. Gonzalez - I. Tamanini, The mean curvature of a set of finite perimeter, Proc. A.M.S., 99 (1987), pp. 313-316. | MR 870791

[5] E. De Giorgi, Su una teoria generale della misura (r-1)-dimensionale in uno spazio ad r dimensioni, Annali di Mat. Pura e Appl., (4) 36 (1954), pp. 191-213. | MR 62214 | Zbl 0055.28504

[6] E. De GIORGI - F. COLOMBINI - L. PICCININI, Frontiere orientate di misura minima e questioni collegate, Scuola Norm. Sup. Pisa, (1972). | MR 493669 | Zbl 0296.49031

[7] E. Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Boston-Basel- Stuttgart, 1984. | MR 775682 | Zbl 0545.49018

[8] E. Gonzalez - U. Massari - M. Miranda, On minimal cones, Appl. Anal., special issue (1997). | MR 1674532 | Zbl 0886.35005

[9] E. Gonzalez - U. Massari - I. Tamanini, Boundaries of prescribed mean curvature, Rend. Mat Acc. Lincei, 4 (1993), pp. 197-206. | MR 1250498 | Zbl 0824.49037

[10] G.P. Leonardi, PhD thesis, University of Trento, 1998.

[11] U. Massari, Esistenza e regolarità delle ipersuperfici di curvatura media assegnata in Rn, Arch. Rat. Mech. Analysis, 55 (1974), pp. 357-382. | MR 355766 | Zbl 0305.49047

[12] U. Massari, Frontiere orientate di curvatura media assegnata in Lp, Rend. Sem. Mat. Univ. Padova, 53 (1975), pp. 37-52. | Numdam | MR 417905 | Zbl 0358.49019

[13] U. Massari - M. Miranda, Minimal surfaces of codimension one, Notas de Matematica, North Holland, Amsterdam, 1984. | MR 795963 | Zbl 0565.49030

[14] U. Massari - I. Tamanini, On the finiteness of optimal partitions, Ann. Univ. Ferrara, 39 (1994), pp. 167-185. | MR 1324378 | Zbl 0876.49002

[15] L. Simon, Lectures on Geometric Measure Theory, vol. 3, Proceeding of the Center for Mathematical Analysis, Australian National University, 1983. | MR 756417 | Zbl 0546.49019

[16] I. Tamanini, Boundaries of Caccioppoli sets with Hölder-continuous normal vector, J. Reine Angew. Math., 334 (1982), pp. 27-39. | MR 667448 | Zbl 0479.49028

[17] I. Tamanini, Regularity results for almost minimal oriented hypersurfaces in Rn, Quaderni del Dipartimento di Matematica, Univ. Lecce, 1 (1984).