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).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsBibliography
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
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)