Minimal surfaces with movable boundaries

Nitsche, Johannes C. C.

doi:10.1090/S0002-9904-1971-12795-7

Minimal surfaces with movable boundaries
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by Johannes C. C. Nitsche PDF

Bull. Amer. Math. Soc. 77 (1971), 746-751

References

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
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