Abstract
Based on results of the preceding Chapter 5 and of Chapter 4 in Vol. 2, this chapter is devoted to the study of Plateau’s problem for nonparametric H-surfaces, and both an existence result and (if H=0) a uniqueness theorem are proved. Moreover, basic geometric estimates for nonparametric H-surfaces and a result concerning the removability of singularities are established.
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© 2010 Springer-Verlag Berlin Heidelberg
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Dierkes, U., Hildebrandt, S., Sauvigny, F. (2010). Graphs with Prescribed Mean Curvature. In: Minimal Surfaces. Grundlehren der mathematischen Wissenschaften, vol 339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11698-8_7
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DOI: https://doi.org/10.1007/978-3-642-11698-8_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11697-1
Online ISBN: 978-3-642-11698-8
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