Abstract
The first section is devoted to the study of minimal surfaces in the neighbourhood of boundary branch points. The fundamental tool for dealing with this problem is the method of Hartman–Wintner which yields asymptotic expansions for complex-valued solutions f(w) of a differential inequality
at the center w=0 of a disk B R (0)={w∈ℂ:|w|<R}, and more general, of expansions for vector-valued solutions X(w) of a differential inequality
Such expansions are used in the preceding chapter. The remainder of the chapter deals with results by G. Dziuk investigating minimal surfaces at boundary points which are mapped onto vertices of fixed or free boundaries.
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© 2010 Springer-Verlag Berlin Heidelberg
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Dierkes, U., Hildebrandt, S., Tromba, A.J. (2010). Singular Boundary Points of Minimal Surfaces. In: Regularity of Minimal Surfaces. Grundlehren der mathematischen Wissenschaften, vol 340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11700-8_3
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DOI: https://doi.org/10.1007/978-3-642-11700-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11699-5
Online ISBN: 978-3-642-11700-8
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