Minimal surfaces with movable boundaries
HTML articles powered by AMS MathViewer
- by Johannes C. C. Nitsche PDF
- Bull. Amer. Math. Soc. 77 (1971), 746-751
References
-
1. O. Bolza, Vorlesungen über Variationsrechnung, Teubner, Leipzig and Berlin, 1909.
2. C. V. Boys, Soap bubbles: Their colours and the forces which mold them, Dover, New York, 1959.
- Richard Courant, Soap film experiments with minimal surfaces, Amer. Math. Monthly 47 (1940), 167–174. MR 1622
- Philip Hartman and Aurel Wintner, On the local behavior of solutions of non-parabolic partial differential equations, Amer. J. Math. 75 (1953), 449–476. MR 58082, DOI 10.2307/2372496
- Erhard Heinz, Über das Randverhalten quasilinearer elliptischer Systeme mit isothermen Parametern, Math. Z. 113 (1970), 99–105 (German). MR 262683, DOI 10.1007/BF01141095
- Erhard Heinz and Stefan Hildebrandt, The number of branch points of surfaces of bounded mean curvature, J. Differential Geometry 4 (1970), 227–235. MR 267495
- Stefan Hildebrandt, Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen, Math. Ann. 194 (1971), 316–331 (German). MR 291927, DOI 10.1007/BF01350132 8. H. Minkowski, Kapillarität, Enc. d. math. Wissensch., 5.1.9, Teubner, Leipzig, 1903-1921, pp. 558-613.
- Johannes C. C. Nitsche, On new results in the theory of minimal surfaces, Bull. Amer. Math. Soc. 71 (1965), 195–270. MR 173993, DOI 10.1090/S0002-9904-1965-11276-9
- Johannes C. C. Nitsche, The boundary behavior of minimal surfaces. Kellogg’s theorem and Branch points on the boundary, Invent. Math. 8 (1969), 313–333. MR 259766, DOI 10.1007/BF01404636
- J. C. C. Nitsche, An isoperimetric property of surfaces with moveable boundaries, Amer. Math. Monthly 77 (1970), 359–362. MR 257898, DOI 10.2307/2316142
- Masatsugu Tsuji, On a theorem of F. and M. Riesz, Proc. Imp. Acad. Tokyo 18 (1942), 172–175. MR 14742 13. K. L. Wolf, Tropfen, Blasen und Lamellen, Springer, Berlin and New York, 1968.
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 746-751
- MSC (1970): Primary 4900, 5304; Secondary 2656, 3545
- DOI: https://doi.org/10.1090/S0002-9904-1971-12795-7
- MathSciNet review: 0279700