The boundary regularity of minimal surfaces

David Kinderlehrer

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1969)

  • Volume: 23, Issue: 4, page 711-744
  • ISSN: 0391-173X

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Kinderlehrer, David. "The boundary regularity of minimal surfaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.4 (1969): 711-744. <http://eudml.org/doc/83514>.

@article{Kinderlehrer1969,
author = {Kinderlehrer, David},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {4},
pages = {711-744},
publisher = {Scuola normale superiore},
title = {The boundary regularity of minimal surfaces},
url = {http://eudml.org/doc/83514},
volume = {23},
year = {1969},
}

TY - JOUR
AU - Kinderlehrer, David
TI - The boundary regularity of minimal surfaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1969
PB - Scuola normale superiore
VL - 23
IS - 4
SP - 711
EP - 744
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83514
ER -

References

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  1. [1] L. Bers, Isolated Singularities of Minimal Surfaces, Annals of Math., (53.2) 1951 pp 364-386. Zbl0043.15901MR43335
  2. [2] S. Hildebrandt, Über da8 Randverhalten von Minimalflächen, Math. Ann.165, 1-18 (1966). Zbl0138.42302MR206837
  3. [3] S. Hildebrandt, The Boundary Behavior of Minimal Surfaces, Archive for Rat. Mech. and Analysis, (35, I), (1969), p. 47. Zbl0183.39402MR248650
  4. [4] D. Kinderlehrer, Minimal Surfaces whose Boundaries Contain Spikes, to appear in Jonrnal of Math. and Mech. Zbl0193.39301MR256277
  5. [5] H. Lewy, On the Boundary Behavior of Minimal Surfaces, Proc. of the N. A. S., (37.2), 1951, pp. 103-110. Zbl0042.15702MR49398
  6. [6] N.L. Muskhelishvili, Singular Integral Equations, (Groningen, Holland), 1953. Zbl0051.33203
  7. [7] J.C.C. Nitsche, Über eine mit der Minimalflächengleichung zusanmmenhängende analytische Funktion und der Bernsteinschen Satz, Arch. Math., (7), 1956, pp. 417-419. Zbl0079.37701
  8. [8] J.C.C. Nitsche, On New Results in the Theory of Minimal Surfaces, Bull. of the A. M. S., (11) 1965, pp. 195-270. Zbl0135.21701MR173993
  9. [9] M. Shiffman, On Surfaces of Stationary Area bounded by two Circles, or Convex Curves, in Parallel Planes, Ann. of Math. (63), 1956, pp. 77-90. Zbl0070.16803MR74695
  10. [10] M. Tsuji, On a Theorem of F. and M. Riesz, Proc. Imp. Acad., Tokyo (18), 1942, pp. 172-175. Zbl0060.35906MR14742
  11. [11] M. Tsuji, Potential Theory in Modern Function Theory, (Maruzen, Tokyo), 1959. Zbl0087.28401MR114894
  12. [12] S. Warschawski, On the Differentiability at the Boundary in Conformal Mapping, Proc. of the A. M. S. (12), 1961, pp. 614-620. Zbl0100.28803MR131524
  13. [13] S. Warschawski, On Hölder Continuity at the Boundary in Conformal Maps, Journal of Math. and Mech., (185) 1968, pp. 423-428. Zbl0193.37503MR232919

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