Plateau’s problem for infinite contours
Plateau’s problem is solved for a certain class of properly embedded unbounded curves in R 3 , i. e. the existence of simply connected properly immersed minimal surfaces is shown which have a given curve from this class as their boundary. The class of admissible boundary contours includes all proper...
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| Main Author: | |
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| Format: | Article (Journal) Festschrift |
| Language: | English |
| Published: |
25. September 2009
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| In: |
Analysis
Year: 2009, Volume: 29, Issue: 2, Pages: 155-167 |
| ISSN: | 2196-6753 |
| DOI: | 10.1524/anly.2009.1044 |
| Subjects: | |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1524/anly.2009.1044 Verlag, lizenzpflichtig, Volltext: https://www.degruyterbrill.com/document/doi/10.1524/anly.2009.1044/html 
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| Author Notes: | Friedrich Tomi |
| Summary: | Plateau’s problem is solved for a certain class of properly embedded unbounded curves in R 3 , i. e. the existence of simply connected properly immersed minimal surfaces is shown which have a given curve from this class as their boundary. The class of admissible boundary contours includes all properly embedded piecewise C 1, α curves with polynomial ends. The constructed surfaces have quadratic area growth. |
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| Item Description: | Dedicated to Erhard Heinz on the occasion of his 85th birthday Gesehen am 11.06.2021 |
| Physical Description: | Online Resource |
| ISSN: | 2196-6753 |
| DOI: | 10.1524/anly.2009.1044 |