Blow-up of oriented boundaries

Gian Paolo Leonardi

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 211-232
  • ISSN: 0041-8994

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Leonardi, Gian Paolo. "Blow-up of oriented boundaries." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 211-232. <http://eudml.org/doc/108522>.

@article{Leonardi2000,
author = {Leonardi, Gian Paolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {area-minimizing cone; blow-up; set of finite perimeter},
language = {eng},
pages = {211-232},
publisher = {Seminario Matematico of the University of Padua},
title = {Blow-up of oriented boundaries},
url = {http://eudml.org/doc/108522},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Leonardi, Gian Paolo
TI - Blow-up of oriented boundaries
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 211
EP - 232
LA - eng
KW - area-minimizing cone; blow-up; set of finite perimeter
UR - http://eudml.org/doc/108522
ER -

References

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  1. [1] F. Almgren, Minimal surfaces: tangent cones, singularities and topological types, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 767-770. Zbl0433.49016MR562685
  2. [2] L. Ambrosio, Corso introduttivo alla Teoria Geometrica della Misura ed alle superfici minime, ScuolaNorm. Sup., Pisa, 1997. Zbl0977.49028MR1736268
  3. [3] L. Ambrosio - E. Paolini, Partial regularity for quasi minimizers of perimeter, To appear. Zbl0943.49032MR1765683
  4. [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. MR870791
  5. [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. Zbl0055.28504MR62214
  6. [6] E. DeGIORGI - F. COLOMBINI - L. PICCININI, Frontiere orientate di misura minima e questioni collegate, Scuola Norm. Sup. Pisa, (1972). Zbl0296.49031MR493669
  7. [7] E. Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Boston-Basel- Stuttgart, 1984. Zbl0545.49018MR775682
  8. [8] E. Gonzalez - U. Massari - M. Miranda, On minimal cones, Appl. Anal., special issue (1997). Zbl0886.35005MR1674532
  9. [9] E. Gonzalez - U. Massari - I. Tamanini, Boundaries of prescribed mean curvature, Rend. Mat Acc. Lincei, 4 (1993), pp. 197-206. Zbl0824.49037MR1250498
  10. [10] G.P. Leonardi, PhD thesis, University of Trento, 1998. 
  11. [11] U. Massari, Esistenza e regolarità delle ipersuperfici di curvatura media assegnata in Rn, Arch. Rat. Mech. Analysis, 55 (1974), pp. 357-382. Zbl0305.49047MR355766
  12. [12] U. Massari, Frontiere orientate di curvatura media assegnata in Lp, Rend. Sem. Mat. Univ. Padova, 53 (1975), pp. 37-52. Zbl0358.49019MR417905
  13. [13] U. Massari - M. Miranda, Minimal surfaces of codimension one, Notas de Matematica, North Holland, Amsterdam, 1984. Zbl0565.49030MR795963
  14. [14] U. Massari - I. Tamanini, On the finiteness of optimal partitions, Ann. Univ. Ferrara, 39 (1994), pp. 167-185. Zbl0876.49002MR1324378
  15. [15] L. Simon, Lectures on Geometric Measure Theory, vol. 3, Proceeding of the Center for Mathematical Analysis, Australian National University, 1983. Zbl0546.49019MR756417
  16. [16] I. Tamanini, Boundaries of Caccioppoli sets with Hölder-continuous normal vector, J. Reine Angew. Math., 334 (1982), pp. 27-39. Zbl0479.49028MR667448
  17. [17] I. Tamanini, Regularity results for almost minimal oriented hypersurfaces in Rn, Quaderni del Dipartimento di Matematica, Univ. Lecce, 1 (1984). Zbl1191.35007

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