Surfaces quasiminimales de codimension 1 et domaines de John

G. David; S. Semmes

Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)

  • page 1-17

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David, G., and Semmes, S.. "Surfaces quasiminimales de codimension 1 et domaines de John." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-17. <http://eudml.org/doc/112121>.

@article{David1995-1996,
author = {David, G., Semmes, S.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-17},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Surfaces quasiminimales de codimension 1 et domaines de John},
url = {http://eudml.org/doc/112121},
year = {1995-1996},
}

TY - JOUR
AU - David, G.
AU - Semmes, S.
TI - Surfaces quasiminimales de codimension 1 et domaines de John
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 17
LA - fre
UR - http://eudml.org/doc/112121
ER -

References

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  1. [Al] F.J. Almgren, Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, Memoirs of the Amer. Math. Soc. 165, volume 4 (1976), i-199. Zbl0327.49043MR420406
  2. [DJe] G. David et D. Jerison, Lipschitz approximations to hypersurfaces, harmonic measure, and singular integrals, Indiana U. Math. Journal.39, 3 (1990),831-845. Zbl0758.42008MR1078740
  3. [DS1] G. David et S. Semmes, Quantitative rectifiability and Lipschitz mappings, Transactions A.M.S.337 (1993), 855-889. Zbl0792.49029MR1132876
  4. [DS2] G. David et S. Semmes, Analysis of and on uniformly rectifiable sets, A.M.S series of Mathematical surveys and monographs, Volume 38, 1993. Zbl0832.42008MR1251061
  5. [DS3] G. David et S. Semmes, Uniform rectifiability and Singular sets, à paraître, Annales de l'I.H.P. Zbl0908.49030
  6. [DS4] G. David et S. Semmes, Quasiminimal surfaces of codimension 1 and John domains, préprint IHES, 1996. Zbl0948.49501
  7. [DS5] G. David et S. Semmes, Surfaces quasiminimales de codimension 1: un morceau de démonstration, actes du colloque E.D.P. de St Jean de Monts, Juin 1996. Zbl0948.49500MR1417733
  8. [DS6] G. David et S. Semmes, Uniform rectifiability of quasiminimal surfaces of codimension 1 (titre approximatif), preprint, fin 1996. 
  9. [JKV] P. Jones, N. Katz et A. Vargas, Checkerboards, Lipschitz functions and uniform rectifiability, à paraître, Revista Mat. Iberoamericana. Zbl0908.49029
  10. [Ma] P. Mattila, Geometry of sets and measures in Euclidean space, Cambridge University Press1995. Zbl0819.28004MR1333890
  11. [Po] C. Pommerenke, Boundary behaviour of conformal maps, Grundslehren der Mathematischen Wissenchaften 299, Springer-Verlag1992. Zbl0762.30001MR1217706
  12. [Se1] S. Semmes, A criterion for the boundedness of singular integrals on hypersurfaces, Trans. A.M.S. 311, 2 (1989), 501-513. Zbl0675.42015MR948198
  13. [Se2] S. Semmes, Analysis, geometry, and topology with little smoothness, nontrivial structure, and infinite complexity, Proceedings of the I.C.M. Kyoto. 
  14. [St] E.M. Stein, Singular integrals and differentiability properties of functions, Princeton university press 1970. Zbl0207.13501MR290095

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