The regularity of the trace for minimal surfaces

Johannes C. C. Nitsche

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)

  • Volume: 3, Issue: 1, page 139-155
  • ISSN: 0391-173X

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Nitsche, Johannes C. C.. "The regularity of the trace for minimal surfaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.1 (1976): 139-155. <http://eudml.org/doc/83709>.

@article{Nitsche1976,
author = {Nitsche, Johannes C. C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {139-155},
publisher = {Scuola normale superiore},
title = {The regularity of the trace for minimal surfaces},
url = {http://eudml.org/doc/83709},
volume = {3},
year = {1976},
}

TY - JOUR
AU - Nitsche, Johannes C. C.
TI - The regularity of the trace for minimal surfaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1976
PB - Scuola normale superiore
VL - 3
IS - 1
SP - 139
EP - 155
LA - eng
UR - http://eudml.org/doc/83709
ER -

References

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  1. [1] R. Courant, The existence of a minimal surface of least area bounded by prescribed Jordan arcs and prescribed surfaces, Proc. Nat. Acad. Sci. USA, 24 (1938), pp. 97-101. Zbl0018.22102JFM64.1185.03
  2. [2] R. Courant, The existence of minimal surfaces of given topological structure under prescribed boundary conditions, Acta Math., 72 (1940), pp. 51-98. Zbl0023.39901MR2478JFM66.0485.02
  3. [3] R. Courant, Dirichlet's principle, conformal mapping, and minimal surfaces, Interscience, New York, 1950. Zbl0040.34603MR36317
  4. [4] K. Goldhorn - S. Hildebrandt, Zum Randverhalten der Lösungen zweidimensionaler Variationsprobleme mit freien Randbedingungen, Math. Z., 118 (1970), pp. 241-253. Zbl0202.20502MR279699
  5. [5] G.H. Hardy - J.E. Littlewood - G. Pólya, Inequalities, 2nd ed., Cambridge Univ. Press, 1952. Zbl0047.05302MR46395
  6. [6] W. Jäger, Behavior of minimal surfaces with free boundaries, Comm. P. Appl. Math., 23 (1970), pp. 803-818. Zbl0204.11601MR266067
  7. [7] F.D. Lesley, Differentiability of minimal surfaces on the boundary, Pacific J. Math., 37 (1971), pp. 123-140. Zbl0218.53014MR310775
  8. [8] H. Lewy, On minimal surfaces with partially free boundary, Comm. P. Appl. Math., 4 (1951), pp. 1-13. MR52711
  9. [9] C.B. Morrey, On the solutions of quasi-linear elliptic partial differential equations, Trans. A.M.S., 43 (1938), pp. 126-166. Zbl0018.40501MR1501936JFM64.0460.02
  10. [10] J.C.C. Nitsche, On new results in the theory of minimal surfaces, Bull. A.M.S., 71 (1965), pp. 195-270. Zbl0135.21701MR173993
  11. [11] J.C.C. Nitsche, The boundary behavior of minimal surfaces. Kellogg's theorem and branch points on the boundary, Inventiones Math., 8 (1969), pp. 313-333. Zbl0195.23101MR259766
  12. [12] J.C.C. Nitsche, Concerning my paper on the boundary behavior of minimal surfaces, Inventiones Math., 9 (1970), p. 270. Zbl0202.20601MR259767
  13. [13] J.C.C. Nitsche, Minimal surfaces with partially free boundary. Least area property and Hölder contimuity for boundaries satisfying a chord-arc condition, Arch. Rat. Mech. Anal., 39 (1970), pp. 131-145. Zbl0209.41602MR266068
  14. [14] J.C.C. Nitsche, Vorlesungen über Minimalflächen, Springer, Berlin-Heidelberg -New York, 1975. Zbl0319.53003MR448224
  15. [15] I.F. Ritter, Solution of Schwarz' problem concerning minimal surfaces, Univ. Nac. Tucumán Rev., Ser. A, 1 (1940), pp. 40-62. Zbl0025.33601MR4743JFM66.0486.01

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