Abstract
Here we formulate some major open problems for minimal surfaces, mostly in the context of Plateau’s or Douglas’s problem. Many of them are unsolved since a long time, see e.g. J.C.C. Nitsche (Vorlesungen über Minimalflächen, Springer, Berlin, 1975; Lectures on minimal surfaces, vol. 1, Cambridge Univ. Press, Cambridge, 1989).
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Nitsche, J.C.C.
Vorlesungen über Minimalflächen. Grundlehren Math. Wiss. 199. Springer, Berlin, 1975
Lectures on minimal surfaces, vol. 1: Introduction, fundamentals, geometry and basic boundary problems. Cambridge University Press, Cambridge, 1989
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© 2010 Springer-Verlag Berlin Heidelberg
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Dierkes, U., Hildebrandt, S., Sauvigny, F. (2010). Problems. In: Minimal Surfaces. Grundlehren der mathematischen Wissenschaften, vol 339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11698-8_9
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DOI: https://doi.org/10.1007/978-3-642-11698-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11697-1
Online ISBN: 978-3-642-11698-8
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