On integral currents with constant mean curvature

Frank Duzaar; Martin Fuch

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 85, page 79-103
  • ISSN: 0041-8994

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Duzaar, Frank, and Fuch, Martin. "On integral currents with constant mean curvature." Rendiconti del Seminario Matematico della Università di Padova 85 (1991): 79-103. <http://eudml.org/doc/108226>.

@article{Duzaar1991,
author = {Duzaar, Frank, Fuch, Martin},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Plateau-problem; oriented compact dimensional submanifold; locally rectifiable -current; mean curvature vectorfield},
language = {eng},
pages = {79-103},
publisher = {Seminario Matematico of the University of Padua},
title = {On integral currents with constant mean curvature},
url = {http://eudml.org/doc/108226},
volume = {85},
year = {1991},
}

TY - JOUR
AU - Duzaar, Frank
AU - Fuch, Martin
TI - On integral currents with constant mean curvature
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 85
SP - 79
EP - 103
LA - eng
KW - Plateau-problem; oriented compact dimensional submanifold; locally rectifiable -current; mean curvature vectorfield
UR - http://eudml.org/doc/108226
ER -

References

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  1. [AF] F.J. Almgren, Optimal Isoperimetric Inequalities, Indiana Univ. Math. J., 35 (1986), pp. 451-547. Zbl0585.49030MR855173
  2. [AW] W.K. Allard, On the first variation of a varifold, Ann. of Math., 95 (1972), pp. 417-491. Zbl0252.49028MR307015
  3. [B] E. Barozzi, Il problema di Plateau in domini illiminati, Rend. Sem. Mat. Univ. Padova, 70 (1983), pp. 89-98. Zbl0534.49027MR742112
  4. [BG] E. Barozzi - E.H.A. Gonzalez, Least area problems with a volume constraint, Société Mathématique de France, Astérisque, 118 (1984), pp. 33-35. Zbl0617.76023MR761736
  5. [DF1] F. Duzaar - M. Fuchs, On the existence of integral currents with prescribed mean curvature vector, Preprint 1989. 
  6. [DF2] F. Duzaar - M. Fuchs, Existence of area minimizing tangent cones of integral currents with prescribed mean curvature, Preprint 1989. Zbl0830.49027MR1413832
  7. [F] H. Federer, Geometric measure theory, Berlin- Heidelberg-New York1969. Zbl0176.00801MR257325
  8. [GMT] E.H.A. Gonzalez - U. Massari - I. Tamanini, On the regularity of boundaries of sets minimizing perimeter with a volume constraint, Indiana Univ. Math., 32 (1983), 25-37. Zbl0486.49024MR684753
  9. [S] L. Simon, Lectures on geometric measure theory, Proceedings C.M.A., 3, Canberra1983. Zbl0546.49019MR756417

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