Plateau’s problem for infinite contours

• Verfasst von: Tomi, Friedrich [VerfasserIn]
• Titel: Plateau’s problem for infinite contours
• Gefeierte Person: Heinz, Erhard [GefeierteR]
• Verf.angabe: Friedrich Tomi
• E-Jahr: 2009
• Jahr: 25. September 2009
• Umfang: 13 S.
• Teil: volume:29
• Teil: year:2009
• Teil: number:2
• Teil: pages:155-167
• Teil: extent:13
• Fussnoten: Dedicated to Erhard Heinz on the occasion of his 85th birthday ; Gesehen am 11.06.2021
• Titel Quelle: Enthalten in: Analysis
• Ort Quelle: Berlin : De Gruyter, 1981
• Jahr Quelle: 2009
• Band/Heft Quelle: 29(2009), 2, Seite 155-167
• ISSN Quelle: 2196-6753
• DOI: doi:10.1524/anly.2009.1044
• Datenträger: Online-Ressource
• Dokumenttyp: Festschrift
• Sprache: eng
• K10plus-PPN: 1760327581

Abstract

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.