Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme

Séverine Rigot

Séminaire Équations aux dérivées partielles (2000-2001)

  • Volume: 2000-2001, page 1-13

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Rigot, Séverine. "Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme." Séminaire Équations aux dérivées partielles 2000-2001 (2000-2001): 1-13. <http://eudml.org/doc/11028>.

@article{Rigot2000-2001,
author = {Rigot, Séverine},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {perimeter problem; regularity; quasiminima; perimeter functional},
language = {fre},
pages = {1-13},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme},
url = {http://eudml.org/doc/11028},
volume = {2000-2001},
year = {2000-2001},
}

TY - JOUR
AU - Rigot, Séverine
TI - Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme
JO - Séminaire Équations aux dérivées partielles
PY - 2000-2001
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2000-2001
SP - 1
EP - 13
LA - fre
KW - perimeter problem; regularity; quasiminima; perimeter functional
UR - http://eudml.org/doc/11028
ER -

References

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  4. G. David, S. Semmes, Quantitative rectifiability and Lipschitz mappings, Trans. Amer. Math. Soc. 337 (1993), 855-889 Zbl0792.49029MR1132876
  5. G. David, S. Semmes, Uniform rectifiability and quasiminimizing sets of arbitrary codimension, Mem. Amer. Math. Soc. 144 (2000) Zbl0966.49024MR1683164
  6. E. De Giorgi, Frontiere orientate di misura minima, (1960-1961) Zbl0296.49031
  7. H. Federer, The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two arbitrary codimension, Bull. Amer. Math. Soc. 76 (1970), 767-771 Zbl0194.35803MR260981
  8. E. Giusti, Minimal surfaces and functions of bounded variation, 80 (1984), Birkhäuser Zbl0545.49018MR775682
  9. E. Gonzalez, U. Massari, I. Tamanini, On the regularity of boundaries of sets minimizing perimeter with a volume constraint, Indiana Univ. Math. J. 32 (1983), 25-37 Zbl0486.49024MR684753
  10. F. Otto, Dynamics of labyrinthine pattern formation in magnetic fluids : a mean-field theory, Arch. Rational Mech. Anal. 141 (1998), 63-103 Zbl0905.35068MR1613500
  11. S. Rigot, Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme, Mém. Soc. Math. Fr. (N.S.) 82 (2000) Zbl0983.49025MR1807347
  12. S. Rigot, Uniform partial regularity of quasi minimizers for the perimeter, Cal. Var. Partial Differential Equations 10 (2000), 389-406 Zbl0961.49025MR1767720
  13. I. Tamanini, Regularity results for almost minimal oriented hypersurfaces in ℝ n , (1984), Quaderni Del Dipartimento Di Matematica Dell’ Universita’ Di Lecce Zbl1191.35007
  14. W. P. Ziemer, Weakly differentiable functions, 120 (1989), Springer-Verlag Zbl0692.46022MR1014685

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