Approximating singularities by a cuspidal-edge on a maxface

We give necessary and sufficient conditions on the singular Björling data such that the singular Björling problem’s solution has a prescribed nature of singularity. As an application, for a given maxface with a particular type of singularity, we find a sequence of maxfaces, all having a cuspidal-edg...

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Bibliographic Details
Published in:Archiv der Mathematik 2022-07, Vol.119 (1), p.101-111
Main Authors: Kumar, Pradip, Mohanty, Sai Rasmi Ranjan
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Singularities
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Summary:We give necessary and sufficient conditions on the singular Björling data such that the singular Björling problem’s solution has a prescribed nature of singularity. As an application, for a given maxface with a particular type of singularity, we find a sequence of maxfaces, all having a cuspidal-edge.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-022-01747-9