A finiteness result in the free boundary value problem for minimal surfaces

Friedrich Tomi

Annales de l'I.H.P. Analyse non linéaire (1986)

  • Volume: 3, Issue: 4, page 331-343
  • ISSN: 0294-1449

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Tomi, Friedrich. "A finiteness result in the free boundary value problem for minimal surfaces." Annales de l'I.H.P. Analyse non linéaire 3.4 (1986): 331-343. <http://eudml.org/doc/78117>.

@article{Tomi1986,
author = {Tomi, Friedrich},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {minimal surfaces; free boundary problem; minimizing maps; disc type solutions; H-convexity},
language = {eng},
number = {4},
pages = {331-343},
publisher = {Gauthier-Villars},
title = {A finiteness result in the free boundary value problem for minimal surfaces},
url = {http://eudml.org/doc/78117},
volume = {3},
year = {1986},
}

TY - JOUR
AU - Tomi, Friedrich
TI - A finiteness result in the free boundary value problem for minimal surfaces
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1986
PB - Gauthier-Villars
VL - 3
IS - 4
SP - 331
EP - 343
LA - eng
KW - minimal surfaces; free boundary problem; minimizing maps; disc type solutions; H-convexity
UR - http://eudml.org/doc/78117
ER -

References

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  1. [1] P. Alexandroff, H. Hopf, Topologie. Erster Band., Springer, Berlin, 1935. Zbl61.0602.07
  2. [2] W. Blaschke, Vorlesungen über Differentialgeometrie. I. Elementare Differential geometrie., Springer, Berlin, 1945. Zbl0063.00453
  3. [3] R. Courant, Dirichlet's principle, conformal mapping and minimal surfaces. Interscience Publ., New York, 1950. Zbl0040.34603MR36317
  4. [4] S. Hildebrandt, Randwertprobleme für Flächen mit vorgeschriebener mittlerer Zbl0175.40403
  5. Krümmung und Anwendungen auf die Kapillaritätstheorie. II. Freie Ränder. Arch. Rat. Mech. Analysis, t. 39, 1970, p. 275-293. MR273524
  6. [5] S. Hildebrandt, Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen. Math. Ann., t. 194, 1971, p. 316-331. Zbl0213.38404MR291927
  7. [6] W. Jäger, Behavior of minimal surfaces with free boundaries. Comm. Pure Appl. Math., t. 23, 1970, p. 803-818. Zbl0204.11601MR266067
  8. [7] W.H. Meeks, S.T. Yau, Topology of three dimensional manifolds and the embedding problems in minimal surface theory. Ann. of Math., t. 112, 1980, p. 441-484. Zbl0458.57007MR595203
  9. [8] J.C.C. Nitsche, Vorlesungen über Minimalflächen. Springer, Berlin-Heidelberg- New York, 1975. Zbl0319.53003MR448224
  10. [9] H.W. Seifert, Threllfall, Lehrbuch der Topologie. Chelsea Publ. Co., New York. 
  11. [10] F. Tomi, On the local uniqueness of the problem of least area. Archive Rat. Mech. Analysis, t. 52, 1973, p. 312-318. Zbl0277.49016MR346639

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