Area-minimizing integral currents with movable boundary parts of prescribed mass

Klaus Ecker

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: 6, Issue: 4, page 261-293
  • ISSN: 0294-1449

How to cite

top

Ecker, Klaus. "Area-minimizing integral currents with movable boundary parts of prescribed mass." Annales de l'I.H.P. Analyse non linéaire 6.4 (1989): 261-293. <http://eudml.org/doc/78179>.

@article{Ecker1989,
author = {Ecker, Klaus},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {free boundary; thread problem; minimal surfaces; integral currents},
language = {eng},
number = {4},
pages = {261-293},
publisher = {Gauthier-Villars},
title = {Area-minimizing integral currents with movable boundary parts of prescribed mass},
url = {http://eudml.org/doc/78179},
volume = {6},
year = {1989},
}

TY - JOUR
AU - Ecker, Klaus
TI - Area-minimizing integral currents with movable boundary parts of prescribed mass
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - 6
IS - 4
SP - 261
EP - 293
LA - eng
KW - free boundary; thread problem; minimal surfaces; integral currents
UR - http://eudml.org/doc/78179
ER -

References

top
  1. [AA] W.K. Allard and F.J. Almgren, The Structure of Stationary One Dimensional Varifolds with Positive Density, Inv. math., Vol. 34, 1976, pp. 83-97. Zbl0339.49020MR425741
  2. [AW] W.K. Allard, On the First Variation of a Varifold, Annals of Math., Vol. 95, 1972, pp. 417-491. Zbl0252.49028MR307015
  3. [AHW] W.H. Alt, Die Existenz einer Minimalfläche mit freiem Rand vorgeschriebener Länge, Archive Rat. Mech. Analysis, Vol. 51, 1973, pp. 304-320. Zbl0282.49039MR336528
  4. [BJ] J. Brothers, Existence and Structure of Tangent Cones at the Boundary of an Area Minimizing Integral Current, Indiana Univ. Math., Vol. 26, 1977, pp. 1027- 1044. Zbl0374.49022MR487727
  5. [DHL] U. Dierkes, S. Hildebrandt and H. Lewy, On the Analyticity of Minimal Surfaces at Movable Boundaries of Prescribed Length, Journal f. d. Reine u. Angew. Mathematik, Vol. 379, 1987, pp. 100-114. Zbl0617.53010MR903636
  6. [FH] H. Federer, Geometric measure theory, Springer-Verlag, Berlin, Heidelberg, New York, 1969. Zbl0176.00801MR257325
  7. [HS] R. Hardt and L. Simon, Boundary Regularity and Embedded Solutions for the Oriented Plateau Problem, Annals of Math., Vol. 110, No. 1, 1979, pp. 439-486. Zbl0457.49029MR554379
  8. [HW] S. Hildebrandt and H.C. Wente, Variational Problems with Obstacles and a Volume Constraint; Math. Z., Vol. 135, 1973, pp. 55-68. Zbl0284.49017MR365314
  9. [N1] J.C.C. Nitsche, Vorlesungen über Minimalflächen, Springer, Berlin, Heidelberg, New York, 1975. Zbl0319.53003MR448224
  10. [N2] J.C.C. Nitsche, The Regularity of Minimal Surfaces on the Movable Parts of their Boundaries, Indiana Univ. Math. J., Vol. 21, 1971, pp. 505-513. Zbl0236.53011MR290260
  11. [N3] J.C.C. Nitsche, On the Boundary Regularity of Surfaces of Least Area in Euclidean Space, Continuum Mechanics and Related Problems of Analysis, Nauka, Moscow, 1972, pp. 375-377. Zbl0254.53003MR394393
  12. [SL] L. Simon, Lectures on Geometric Measure Theory, Proceedings of the Centre for Mathematical Analysis, Australian National University, Canberra, Vol. 3, 1983. Zbl0546.49019MR756417
  13. [WB] B. White, Regularity of Area-Minimizing Hypersurfaces at Boundaries with Multiplicites, in Seminar on minimal Submanifolds, E. BOMBIERI Ed., Annals of Math., Studies, Vol. 103, Princeton Univ. Press, 1983. Zbl0528.53051MR795244

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.